Finding the Fourth Proportional to 10,690.75, 16,025.46 and 5,142.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690.75 : 16,025.46 = 5,142.52 : x
2. Step 2: Convert to fraction form
   10,690.75/16,025.46 = 5,142.52/x
3. Step 3: Cross multiply
   10,690.75x = 16,025.46 × 5,142.52
4. Step 4: Simplify right side
   10,690.75x = 82,411,248.56
5. Step 5: Solve for x
   x = 82,411,248.56/10,690.75
6. Step 6: Final answer
   x = 7,708.65