Finding the Fourth Proportional to 16,174.83, 24,256.27 and 5,642.20

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174.83 : 24,256.27 = 5,642.20 : x
2. Step 2: Convert to fraction form
   16,174.83/24,256.27 = 5,642.20/x
3. Step 3: Cross multiply
   16,174.83x = 24,256.27 × 5,642.20
4. Step 4: Simplify right side
   16,174.83x = 136,858,577.10
5. Step 5: Solve for x
   x = 136,858,577.10/16,174.83
6. Step 6: Final answer
   x = 8,461.21