Finding the Fourth Proportional to 10,496.66, 15,754.72 and 5,306.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.66 : 15,754.72 = 5,306.18 : x
2. Step 2: Convert to fraction form
   10,496.66/15,754.72 = 5,306.18/x
3. Step 3: Cross multiply
   10,496.66x = 15,754.72 × 5,306.18
4. Step 4: Simplify right side
   10,496.66x = 83,597,380.17
5. Step 5: Solve for x
   x = 83,597,380.17/10,496.66
6. Step 6: Final answer
   x = 7,964.19