Finding the Fourth Proportional to 9,385.50, 12,952.59 and 5,406.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.50 : 12,952.59 = 5,406.53 : x
2. Step 2: Convert to fraction form
   9,385.50/12,952.59 = 5,406.53/x
3. Step 3: Cross multiply
   9,385.50x = 12,952.59 × 5,406.53
4. Step 4: Simplify right side
   9,385.50x = 70,028,566.41
5. Step 5: Solve for x
   x = 70,028,566.41/9,385.50
6. Step 6: Final answer
   x = 7,461.36