Finding the Fourth Proportional to 10,200.23, 14,077.73 and 5,724.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.23 : 14,077.73 = 5,724.25 : x
2. Step 2: Convert to fraction form
   10,200.23/14,077.73 = 5,724.25/x
3. Step 3: Cross multiply
   10,200.23x = 14,077.73 × 5,724.25
4. Step 4: Simplify right side
   10,200.23x = 80,584,382.14
5. Step 5: Solve for x
   x = 80,584,382.14/10,200.23
6. Step 6: Final answer
   x = 7,900.25