Finding the Fourth Proportional to 10,200.22, 14,077.70 and 5,724.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.22 : 14,077.70 = 5,724.23 : x
2. Step 2: Convert to fraction form
   10,200.22/14,077.70 = 5,724.23/x
3. Step 3: Cross multiply
   10,200.22x = 14,077.70 × 5,724.23
4. Step 4: Simplify right side
   10,200.22x = 80,583,992.67
5. Step 5: Solve for x
   x = 80,583,992.67/10,200.22
6. Step 6: Final answer
   x = 7,900.22