Finding the Fourth Proportional to 10,118.64, 13,963.71 and 5,926.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.64 : 13,963.71 = 5,926.89 : x
2. Step 2: Convert to fraction form
   10,118.64/13,963.71 = 5,926.89/x
3. Step 3: Cross multiply
   10,118.64x = 13,963.71 × 5,926.89
4. Step 4: Simplify right side
   10,118.64x = 82,761,373.16
5. Step 5: Solve for x
   x = 82,761,373.16/10,118.64
6. Step 6: Final answer
   x = 8,179.10