Finding the Fourth Proportional to 9,816.50, 13,546.78 and 5,625.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.50 : 13,546.78 = 5,625.02 : x
2. Step 2: Convert to fraction form
   9,816.50/13,546.78 = 5,625.02/x
3. Step 3: Cross multiply
   9,816.50x = 13,546.78 × 5,625.02
4. Step 4: Simplify right side
   9,816.50x = 76,200,908.44
5. Step 5: Solve for x
   x = 76,200,908.44/9,816.50
6. Step 6: Final answer
   x = 7,762.53