Finding the Fourth Proportional to 10,086.80, 15,133.28 and 5,159.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.80 : 15,133.28 = 5,159.90 : x
2. Step 2: Convert to fraction form
   10,086.80/15,133.28 = 5,159.90/x
3. Step 3: Cross multiply
   10,086.80x = 15,133.28 × 5,159.90
4. Step 4: Simplify right side
   10,086.80x = 78,086,110.01
5. Step 5: Solve for x
   x = 78,086,110.01/10,086.80
6. Step 6: Final answer
   x = 7,741.42