Finding the Fourth Proportional to 2,077.50, 2,866.95 and 1,146.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 2,866.95 = 1,146.06 : x
2. Step 2: Convert to fraction form
   2,077.50/2,866.95 = 1,146.06/x
3. Step 3: Cross multiply
   2,077.50x = 2,866.95 × 1,146.06
4. Step 4: Simplify right side
   2,077.50x = 3,285,696.72
5. Step 5: Solve for x
   x = 3,285,696.72/2,077.50
6. Step 6: Final answer
   x = 1,581.56