Finding the Fourth Proportional to 10,700.50, 14,766.74 and 5,984.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,700.50 : 14,766.74 = 5,984.78 : x
2. Step 2: Convert to fraction form
   10,700.50/14,766.74 = 5,984.78/x
3. Step 3: Cross multiply
   10,700.50x = 14,766.74 × 5,984.78
4. Step 4: Simplify right side
   10,700.50x = 88,375,742.10
5. Step 5: Solve for x
   x = 88,375,742.10/10,700.50
6. Step 6: Final answer
   x = 8,259.03