Finding the Fourth Proportional to 16,174.98, 24,256.40 and 5,642.30

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174.98 : 24,256.40 = 5,642.30 : x
2. Step 2: Convert to fraction form
   16,174.98/24,256.40 = 5,642.30/x
3. Step 3: Cross multiply
   16,174.98x = 24,256.40 × 5,642.30
4. Step 4: Simplify right side
   16,174.98x = 136,861,885.72
5. Step 5: Solve for x
   x = 136,861,885.72/16,174.98
6. Step 6: Final answer
   x = 8,461.33