Finding the Fourth Proportional to 4,151.50, 5,729.16 and 2,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,151.50 : 5,729.16 = 2,288.50 : x
2. Step 2: Convert to fraction form
   4,151.50/5,729.16 = 2,288.50/x
3. Step 3: Cross multiply
   4,151.50x = 5,729.16 × 2,288.50
4. Step 4: Simplify right side
   4,151.50x = 13,111,182.66
5. Step 5: Solve for x
   x = 13,111,182.66/4,151.50
6. Step 6: Final answer
   x = 3,158.18