Finding the Fourth Proportional to 2,159.39, 3,238.71 and 578.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.39 : 3,238.71 = 578.12 : x
2. Step 2: Convert to fraction form
   2,159.39/3,238.71 = 578.12/x
3. Step 3: Cross multiply
   2,159.39x = 3,238.71 × 578.12
4. Step 4: Simplify right side
   2,159.39x = 1,872,346.83
5. Step 5: Solve for x
   x = 1,872,346.83/2,159.39
6. Step 6: Final answer
   x = 867.07