Finding the Fourth Proportional to 9,861.97, 13,609.56 and 5,385.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,861.97 : 13,609.56 = 5,385.82 : x
2. Step 2: Convert to fraction form
   9,861.97/13,609.56 = 5,385.82/x
3. Step 3: Cross multiply
   9,861.97x = 13,609.56 × 5,385.82
4. Step 4: Simplify right side
   9,861.97x = 73,298,640.44
5. Step 5: Solve for x
   x = 73,298,640.44/9,861.97
6. Step 6: Final answer
   x = 7,432.45