Finding the Fourth Proportional to 5,569.86, 8,314.14 and 5,158.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,569.86 : 8,314.14 = 5,158.74 : x
2. Step 2: Convert to fraction form
   5,569.86/8,314.14 = 5,158.74/x
3. Step 3: Cross multiply
   5,569.86x = 8,314.14 × 5,158.74
4. Step 4: Simplify right side
   5,569.86x = 42,890,486.58
5. Step 5: Solve for x
   x = 42,890,486.58/5,569.86
6. Step 6: Final answer
   x = 7,700.46