Finding the Fourth Proportional to 5,686.83, 8,514.05 and 5,129.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.83 : 8,514.05 = 5,129.55 : x
2. Step 2: Convert to fraction form
   5,686.83/8,514.05 = 5,129.55/x
3. Step 3: Cross multiply
   5,686.83x = 8,514.05 × 5,129.55
4. Step 4: Simplify right side
   5,686.83x = 43,673,219.53
5. Step 5: Solve for x
   x = 43,673,219.53/5,686.83
6. Step 6: Final answer
   x = 7,679.71