Finding the Fourth Proportional to 2,077.10, 2,866.38 and 1,145.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.10 : 2,866.38 = 1,145.60 : x
2. Step 2: Convert to fraction form
   2,077.10/2,866.38 = 1,145.60/x
3. Step 3: Cross multiply
   2,077.10x = 2,866.38 × 1,145.60
4. Step 4: Simplify right side
   2,077.10x = 3,283,724.93
5. Step 5: Solve for x
   x = 3,283,724.93/2,077.10
6. Step 6: Final answer
   x = 1,580.92