Finding the Fourth Proportional to 8,314.16, 11,475.42 and 5,662.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,314.16 : 11,475.42 = 5,662.63 : x
2. Step 2: Convert to fraction form
   8,314.16/11,475.42 = 5,662.63/x
3. Step 3: Cross multiply
   8,314.16x = 11,475.42 × 5,662.63
4. Step 4: Simplify right side
   8,314.16x = 64,981,000.18
5. Step 5: Solve for x
   x = 64,981,000.18/8,314.16
6. Step 6: Final answer
   x = 7,815.70