Finding the Fourth Proportional to 10,247.16, 14,141.75 and 5,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,247.16 : 14,141.75 = 5,770.50 : x
2. Step 2: Convert to fraction form
   10,247.16/14,141.75 = 5,770.50/x
3. Step 3: Cross multiply
   10,247.16x = 14,141.75 × 5,770.50
4. Step 4: Simplify right side
   10,247.16x = 81,604,968.38
5. Step 5: Solve for x
   x = 81,604,968.38/10,247.16
6. Step 6: Final answer
   x = 7,963.67