Finding the Fourth Proportional to 9,402.62, 12,974.70 and 5,625.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402.62 : 12,974.70 = 5,625.02 : x
2. Step 2: Convert to fraction form
   9,402.62/12,974.70 = 5,625.02/x
3. Step 3: Cross multiply
   9,402.62x = 12,974.70 × 5,625.02
4. Step 4: Simplify right side
   9,402.62x = 72,982,979.43
5. Step 5: Solve for x
   x = 72,982,979.43/9,402.62
6. Step 6: Final answer
   x = 7,761.98