Finding the Fourth Proportional to 5,659.41, 7,787.10 and 5,514.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,659.41 : 7,787.10 = 5,514.52 : x
2. Step 2: Convert to fraction form
   5,659.41/7,787.10 = 5,514.52/x
3. Step 3: Cross multiply
   5,659.41x = 7,787.10 × 5,514.52
4. Step 4: Simplify right side
   5,659.41x = 42,942,118.69
5. Step 5: Solve for x
   x = 42,942,118.69/5,659.41
6. Step 6: Final answer
   x = 7,587.74