Finding the Fourth Proportional to 9,385.67, 12,951.85 and 5,406.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.67 : 12,951.85 = 5,406.91 : x
2. Step 2: Convert to fraction form
   9,385.67/12,951.85 = 5,406.91/x
3. Step 3: Cross multiply
   9,385.67x = 12,951.85 × 5,406.91
4. Step 4: Simplify right side
   9,385.67x = 70,029,487.28
5. Step 5: Solve for x
   x = 70,029,487.28/9,385.67
6. Step 6: Final answer
   x = 7,461.32