Finding the Fourth Proportional to 10,641.86, 14,686.76 and 5,926.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.86 : 14,686.76 = 5,926.85 : x
2. Step 2: Convert to fraction form
   10,641.86/14,686.76 = 5,926.85/x
3. Step 3: Cross multiply
   10,641.86x = 14,686.76 × 5,926.85
4. Step 4: Simplify right side
   10,641.86x = 87,046,223.51
5. Step 5: Solve for x
   x = 87,046,223.51/10,641.86
6. Step 6: Final answer
   x = 8,179.61