Finding the Fourth Proportional to 3,742.16, 5,168.76 and 2,567.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.16 : 5,168.76 = 2,567.12 : x
2. Step 2: Convert to fraction form
   3,742.16/5,168.76 = 2,567.12/x
3. Step 3: Cross multiply
   3,742.16x = 5,168.76 × 2,567.12
4. Step 4: Simplify right side
   3,742.16x = 13,268,827.17
5. Step 5: Solve for x
   x = 13,268,827.17/3,742.16
6. Step 6: Final answer
   x = 3,545.77