Finding the Fourth Proportional to 10,642.71, 14,684.79 and 5,926.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.71 : 14,684.79 = 5,926.08 : x
2. Step 2: Convert to fraction form
   10,642.71/14,684.79 = 5,926.08/x
3. Step 3: Cross multiply
   10,642.71x = 14,684.79 × 5,926.08
4. Step 4: Simplify right side
   10,642.71x = 87,023,240.32
5. Step 5: Solve for x
   x = 87,023,240.32/10,642.71
6. Step 6: Final answer
   x = 8,176.79