Finding the Fourth Proportional to 10,614, 15,926.84 and 5,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614 : 15,926.84 = 5,142 : x
2. Step 2: Convert to fraction form
   10,614/15,926.84 = 5,142/x
3. Step 3: Cross multiply
   10,614x = 15,926.84 × 5,142
4. Step 4: Simplify right side
   10,614x = 81,895,811.28
5. Step 5: Solve for x
   x = 81,895,811.28/10,614
6. Step 6: Final answer
   x = 7,715.83