Finding the Fourth Proportional to 2,077.58, 3,116.67 and 1,256.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.58 : 3,116.67 = 1,256.24 : x
2. Step 2: Convert to fraction form
   2,077.58/3,116.67 = 1,256.24/x
3. Step 3: Cross multiply
   2,077.58x = 3,116.67 × 1,256.24
4. Step 4: Simplify right side
   2,077.58x = 3,915,285.52
5. Step 5: Solve for x
   x = 3,915,285.52/2,077.58
6. Step 6: Final answer
   x = 1,884.54