Finding the Fourth Proportional to 7,542.27, 10,409.13 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,542.27 : 10,409.13 = 5,746.50 : x
2. Step 2: Convert to fraction form
   7,542.27/10,409.13 = 5,746.50/x
3. Step 3: Cross multiply
   7,542.27x = 10,409.13 × 5,746.50
4. Step 4: Simplify right side
   7,542.27x = 59,816,065.55
5. Step 5: Solve for x
   x = 59,816,065.55/7,542.27
6. Step 6: Final answer
   x = 7,930.78