Finding the Fourth Proportional to 9,385.68, 12,952.26 and 5,406.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.68 : 12,952.26 = 5,406.69 : x
2. Step 2: Convert to fraction form
   9,385.68/12,952.26 = 5,406.69/x
3. Step 3: Cross multiply
   9,385.68x = 12,952.26 × 5,406.69
4. Step 4: Simplify right side
   9,385.68x = 70,028,854.62
5. Step 5: Solve for x
   x = 70,028,854.62/9,385.68
6. Step 6: Final answer
   x = 7,461.24