Finding the Fourth Proportional to 2,159.32, 3,238.18 and 772.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.32 : 3,238.18 = 772.28 : x
2. Step 2: Convert to fraction form
   2,159.32/3,238.18 = 772.28/x
3. Step 3: Cross multiply
   2,159.32x = 3,238.18 × 772.28
4. Step 4: Simplify right side
   2,159.32x = 2,500,781.65
5. Step 5: Solve for x
   x = 2,500,781.65/2,159.32
6. Step 6: Final answer
   x = 1,158.14