Finding the Fourth Proportional to 10,700.37, 14,766.24 and 5,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,700.37 : 14,766.24 = 5,920.50 : x
2. Step 2: Convert to fraction form
   10,700.37/14,766.24 = 5,920.50/x
3. Step 3: Cross multiply
   10,700.37x = 14,766.24 × 5,920.50
4. Step 4: Simplify right side
   10,700.37x = 87,423,523.92
5. Step 5: Solve for x
   x = 87,423,523.92/10,700.37
6. Step 6: Final answer
   x = 8,170.14