Finding the Fourth Proportional to 2,078.02, 2,867.65 and 1,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.02 : 2,867.65 = 1,146.50 : x
2. Step 2: Convert to fraction form
   2,078.02/2,867.65 = 1,146.50/x
3. Step 3: Cross multiply
   2,078.02x = 2,867.65 × 1,146.50
4. Step 4: Simplify right side
   2,078.02x = 3,287,760.73
5. Step 5: Solve for x
   x = 3,287,760.73/2,078.02
6. Step 6: Final answer
   x = 1,582.16