Finding the Fourth Proportional to 10,974.57, 15,146.34 and 7,200.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.57 : 15,146.34 = 7,200.96 : x
2. Step 2: Convert to fraction form
   10,974.57/15,146.34 = 7,200.96/x
3. Step 3: Cross multiply
   10,974.57x = 15,146.34 × 7,200.96
4. Step 4: Simplify right side
   10,974.57x = 109,068,188.49
5. Step 5: Solve for x
   x = 109,068,188.49/10,974.57
6. Step 6: Final answer
   x = 9,938.27