Finding the Fourth Proportional to 2,578.32, 3,858.71 and 1,591.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.32 : 3,858.71 = 1,591.76 : x
2. Step 2: Convert to fraction form
   2,578.32/3,858.71 = 1,591.76/x
3. Step 3: Cross multiply
   2,578.32x = 3,858.71 × 1,591.76
4. Step 4: Simplify right side
   2,578.32x = 6,142,120.94
5. Step 5: Solve for x
   x = 6,142,120.94/2,578.32
6. Step 6: Final answer
   x = 2,382.22