Finding the Fourth Proportional to 2,077.72, 3,112.66 and 1,256.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.72 : 3,112.66 = 1,256.60 : x
2. Step 2: Convert to fraction form
   2,077.72/3,112.66 = 1,256.60/x
3. Step 3: Cross multiply
   2,077.72x = 3,112.66 × 1,256.60
4. Step 4: Simplify right side
   2,077.72x = 3,911,368.56
5. Step 5: Solve for x
   x = 3,911,368.56/2,077.72
6. Step 6: Final answer
   x = 1,882.53