Finding the Fourth Proportional to 14,681.64, 22,022.27 and 3,588.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,681.64 : 22,022.27 = 3,588.42 : x
2. Step 2: Convert to fraction form
   14,681.64/22,022.27 = 3,588.42/x
3. Step 3: Cross multiply
   14,681.64x = 22,022.27 × 3,588.42
4. Step 4: Simplify right side
   14,681.64x = 79,025,196.20
5. Step 5: Solve for x
   x = 79,025,196.20/14,681.64
6. Step 6: Final answer
   x = 5,382.59