Finding the Fourth Proportional to 9,402.30, 12,974.26 and 5,624.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402.30 : 12,974.26 = 5,624.70 : x
2. Step 2: Convert to fraction form
   9,402.30/12,974.26 = 5,624.70/x
3. Step 3: Cross multiply
   9,402.30x = 12,974.26 × 5,624.70
4. Step 4: Simplify right side
   9,402.30x = 72,976,320.22
5. Step 5: Solve for x
   x = 72,976,320.22/9,402.30
6. Step 6: Final answer
   x = 7,761.54