Finding the Fourth Proportional to 1,674.72, 2,511.50 and 578.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.72 : 2,511.50 = 578.83 : x
2. Step 2: Convert to fraction form
   1,674.72/2,511.50 = 578.83/x
3. Step 3: Cross multiply
   1,674.72x = 2,511.50 × 578.83
4. Step 4: Simplify right side
   1,674.72x = 1,453,726.71
5. Step 5: Solve for x
   x = 1,453,726.71/1,674.72
6. Step 6: Final answer
   x = 868.04