Finding the Fourth Proportional to 10,640.88, 14,685.35 and 5,926.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.88 : 14,685.35 = 5,926.05 : x
2. Step 2: Convert to fraction form
   10,640.88/14,685.35 = 5,926.05/x
3. Step 3: Cross multiply
   10,640.88x = 14,685.35 × 5,926.05
4. Step 4: Simplify right side
   10,640.88x = 87,026,088.74
5. Step 5: Solve for x
   x = 87,026,088.74/10,640.88
6. Step 6: Final answer
   x = 8,178.47