Finding the Fourth Proportional to 5,178.56, 7,760.84 and 3,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178.56 : 7,760.84 = 3,714.50 : x
2. Step 2: Convert to fraction form
   5,178.56/7,760.84 = 3,714.50/x
3. Step 3: Cross multiply
   5,178.56x = 7,760.84 × 3,714.50
4. Step 4: Simplify right side
   5,178.56x = 28,827,640.18
5. Step 5: Solve for x
   x = 28,827,640.18/5,178.56
6. Step 6: Final answer
   x = 5,566.73