Finding the Fourth Proportional to 2,077.12, 3,102.38 and 1,785.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.12 : 3,102.38 = 1,785.52 : x
2. Step 2: Convert to fraction form
   2,077.12/3,102.38 = 1,785.52/x
3. Step 3: Cross multiply
   2,077.12x = 3,102.38 × 1,785.52
4. Step 4: Simplify right side
   2,077.12x = 5,539,361.54
5. Step 5: Solve for x
   x = 5,539,361.54/2,077.12
6. Step 6: Final answer
   x = 2,666.85