Finding the Fourth Proportional to 1,626.83, 2,432.50 and 1,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,626.83 : 2,432.50 = 1,256.25 : x
2. Step 2: Convert to fraction form
   1,626.83/2,432.50 = 1,256.25/x
3. Step 3: Cross multiply
   1,626.83x = 2,432.50 × 1,256.25
4. Step 4: Simplify right side
   1,626.83x = 3,055,834.11
5. Step 5: Solve for x
   x = 3,055,834.11/1,626.83
6. Step 6: Final answer
   x = 1,878.40