Finding the Fourth Proportional to 10,567.72, 15,854.10 and 3,642.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.72 : 15,854.10 = 3,642.28 : x
2. Step 2: Convert to fraction form
   10,567.72/15,854.10 = 3,642.28/x
3. Step 3: Cross multiply
   10,567.72x = 15,854.10 × 3,642.28
4. Step 4: Simplify right side
   10,567.72x = 57,745,071.35
5. Step 5: Solve for x
   x = 57,745,071.35/10,567.72
6. Step 6: Final answer
   x = 5,464.29