Finding the Fourth Proportional to 9,862.00, 13,609.49 and 5,385.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.00 : 13,609.49 = 5,385.75 : x
2. Step 2: Convert to fraction form
   9,862.00/13,609.49 = 5,385.75/x
3. Step 3: Cross multiply
   9,862.00x = 13,609.49 × 5,385.75
4. Step 4: Simplify right side
   9,862.00x = 73,297,375.27
5. Step 5: Solve for x
   x = 73,297,375.27/9,862.00
6. Step 6: Final answer
   x = 7,432.30