Finding the Fourth Proportional to 9,686.10, 13,366.03 and 5,436.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.10 : 13,366.03 = 5,436.58 : x
2. Step 2: Convert to fraction form
   9,686.10/13,366.03 = 5,436.58/x
3. Step 3: Cross multiply
   9,686.10x = 13,366.03 × 5,436.58
4. Step 4: Simplify right side
   9,686.10x = 72,665,491.38
5. Step 5: Solve for x
   x = 72,665,491.38/9,686.10
6. Step 6: Final answer
   x = 7,502.04