Finding the Fourth Proportional to 10,689.75, 16,023.96 and 5,141.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689.75 : 16,023.96 = 5,141.52 : x
2. Step 2: Convert to fraction form
   10,689.75/16,023.96 = 5,141.52/x
3. Step 3: Cross multiply
   10,689.75x = 16,023.96 × 5,141.52
4. Step 4: Simplify right side
   10,689.75x = 82,387,510.82
5. Step 5: Solve for x
   x = 82,387,510.82/10,689.75
6. Step 6: Final answer
   x = 7,707.15