Finding the Fourth Proportional to 8,314.29, 11,475.59 and 5,662.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,314.29 : 11,475.59 = 5,662.75 : x
2. Step 2: Convert to fraction form
   8,314.29/11,475.59 = 5,662.75/x
3. Step 3: Cross multiply
   8,314.29x = 11,475.59 × 5,662.75
4. Step 4: Simplify right side
   8,314.29x = 64,983,397.27
5. Step 5: Solve for x
   x = 64,983,397.27/8,314.29
6. Step 6: Final answer
   x = 7,815.87