Finding the Fourth Proportional to 5,142.42, 7,710.17 and 4,156.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.42 : 7,710.17 = 4,156.43 : x
2. Step 2: Convert to fraction form
   5,142.42/7,710.17 = 4,156.43/x
3. Step 3: Cross multiply
   5,142.42x = 7,710.17 × 4,156.43
4. Step 4: Simplify right side
   5,142.42x = 32,046,722.56
5. Step 5: Solve for x
   x = 32,046,722.56/5,142.42
6. Step 6: Final answer
   x = 6,231.84