Finding the Fourth Proportional to 4,160.92, 5,742.50 and 4,031.86

Step by Step Solution

1. Step 1: Write the proportion equation
   4,160.92 : 5,742.50 = 4,031.86 : x
2. Step 2: Convert to fraction form
   4,160.92/5,742.50 = 4,031.86/x
3. Step 3: Cross multiply
   4,160.92x = 5,742.50 × 4,031.86
4. Step 4: Simplify right side
   4,160.92x = 23,152,935.89
5. Step 5: Solve for x
   x = 23,152,935.89/4,160.92
6. Step 6: Final answer
   x = 5,564.38