Finding the Fourth Proportional to 10,641.63, 14,686.38 and 5,926.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.63 : 14,686.38 = 5,926.80 : x
2. Step 2: Convert to fraction form
   10,641.63/14,686.38 = 5,926.80/x
3. Step 3: Cross multiply
   10,641.63x = 14,686.38 × 5,926.80
4. Step 4: Simplify right side
   10,641.63x = 87,043,236.98
5. Step 5: Solve for x
   x = 87,043,236.98/10,641.63
6. Step 6: Final answer
   x = 8,179.50