Finding the Fourth Proportional to 5,142.42, 7,713.90 and 3,911.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.42 : 7,713.90 = 3,911.76 : x
2. Step 2: Convert to fraction form
   5,142.42/7,713.90 = 3,911.76/x
3. Step 3: Cross multiply
   5,142.42x = 7,713.90 × 3,911.76
4. Step 4: Simplify right side
   5,142.42x = 30,174,925.46
5. Step 5: Solve for x
   x = 30,174,925.46/5,142.42
6. Step 6: Final answer
   x = 5,867.85