Finding the Fourth Proportional to 9,862.09, 13,609.42 and 5,385.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.09 : 13,609.42 = 5,385.61 : x
2. Step 2: Convert to fraction form
   9,862.09/13,609.42 = 5,385.61/x
3. Step 3: Cross multiply
   9,862.09x = 13,609.42 × 5,385.61
4. Step 4: Simplify right side
   9,862.09x = 73,295,028.45
5. Step 5: Solve for x
   x = 73,295,028.45/9,862.09
6. Step 6: Final answer
   x = 7,432.00