Finding the Fourth Proportional to 9,402.16, 12,972.88 and 5,624.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402.16 : 12,972.88 = 5,624.76 : x
2. Step 2: Convert to fraction form
   9,402.16/12,972.88 = 5,624.76/x
3. Step 3: Cross multiply
   9,402.16x = 12,972.88 × 5,624.76
4. Step 4: Simplify right side
   9,402.16x = 72,969,336.51
5. Step 5: Solve for x
   x = 72,969,336.51/9,402.16
6. Step 6: Final answer
   x = 7,760.91