Finding the Fourth Proportional to 2,077.92, 2,867.52 and 1,146.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.92 : 2,867.52 = 1,146.42 : x
2. Step 2: Convert to fraction form
   2,077.92/2,867.52 = 1,146.42/x
3. Step 3: Cross multiply
   2,077.92x = 2,867.52 × 1,146.42
4. Step 4: Simplify right side
   2,077.92x = 3,287,382.28
5. Step 5: Solve for x
   x = 3,287,382.28/2,077.92
6. Step 6: Final answer
   x = 1,582.05