Finding the Fourth Proportional to 304,945.50, 420,824.82 and 185,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   304,945.50 : 420,824.82 = 185,713.50 : x
2. Step 2: Convert to fraction form
   304,945.50/420,824.82 = 185,713.50/x
3. Step 3: Cross multiply
   304,945.50x = 420,824.82 × 185,713.50
4. Step 4: Simplify right side
   304,945.50x = 78,152,850,209.07
5. Step 5: Solve for x
   x = 78,152,850,209.07/304,945.50
6. Step 6: Final answer
   x = 256,284.65