Finding the Fourth Proportional to 9,385.20, 12,952.68 and 5,406.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.20 : 12,952.68 = 5,406.48 : x
2. Step 2: Convert to fraction form
   9,385.20/12,952.68 = 5,406.48/x
3. Step 3: Cross multiply
   9,385.20x = 12,952.68 × 5,406.48
4. Step 4: Simplify right side
   9,385.20x = 70,028,405.37
5. Step 5: Solve for x
   x = 70,028,405.37/9,385.20
6. Step 6: Final answer
   x = 7,461.58