Finding the Fourth Proportional to 11,586.17, 17,379.87 and 3,689.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586.17 : 17,379.87 = 3,689.55 : x
2. Step 2: Convert to fraction form
   11,586.17/17,379.87 = 3,689.55/x
3. Step 3: Cross multiply
   11,586.17x = 17,379.87 × 3,689.55
4. Step 4: Simplify right side
   11,586.17x = 64,123,885.52
5. Step 5: Solve for x
   x = 64,123,885.52/11,586.17
6. Step 6: Final answer
   x = 5,534.52