Finding the Fourth Proportional to 9,436.30, 13,022.82 and 5,659.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436.30 : 13,022.82 = 5,659.61 : x
2. Step 2: Convert to fraction form
   9,436.30/13,022.82 = 5,659.61/x
3. Step 3: Cross multiply
   9,436.30x = 13,022.82 × 5,659.61
4. Step 4: Simplify right side
   9,436.30x = 73,704,082.30
5. Step 5: Solve for x
   x = 73,704,082.30/9,436.30
6. Step 6: Final answer
   x = 7,810.70