Finding the Fourth Proportional to 9,633.87, 13,295.25 and 5,856.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.87 : 13,295.25 = 5,856.42 : x
2. Step 2: Convert to fraction form
   9,633.87/13,295.25 = 5,856.42/x
3. Step 3: Cross multiply
   9,633.87x = 13,295.25 × 5,856.42
4. Step 4: Simplify right side
   9,633.87x = 77,862,538.72
5. Step 5: Solve for x
   x = 77,862,538.72/9,633.87
6. Step 6: Final answer
   x = 8,082.17