Finding the Fourth Proportional to 509,022.50, 763,196.76 and 242,824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   509,022.50 : 763,196.76 = 242,824.10 : x
2. Step 2: Convert to fraction form
   509,022.50/763,196.76 = 242,824.10/x
3. Step 3: Cross multiply
   509,022.50x = 763,196.76 × 242,824.10
4. Step 4: Simplify right side
   509,022.50x = 185,322,566,369.92
5. Step 5: Solve for x
   x = 185,322,566,369.92/509,022.50
6. Step 6: Final answer
   x = 364,075.39