Finding the Fourth Proportional to 9,385.88, 12,952.71 and 5,406.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.88 : 12,952.71 = 5,406.35 : x
2. Step 2: Convert to fraction form
   9,385.88/12,952.71 = 5,406.35/x
3. Step 3: Cross multiply
   9,385.88x = 12,952.71 × 5,406.35
4. Step 4: Simplify right side
   9,385.88x = 70,026,818.94
5. Step 5: Solve for x
   x = 70,026,818.94/9,385.88
6. Step 6: Final answer
   x = 7,460.87