Finding the Fourth Proportional to 10,643.50, 15,958.29 and 5,096.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,643.50 : 15,958.29 = 5,096.66 : x
2. Step 2: Convert to fraction form
   10,643.50/15,958.29 = 5,096.66/x
3. Step 3: Cross multiply
   10,643.50x = 15,958.29 × 5,096.66
4. Step 4: Simplify right side
   10,643.50x = 81,333,978.31
5. Step 5: Solve for x
   x = 81,333,978.31/10,643.50
6. Step 6: Final answer
   x = 7,641.66