Finding the Fourth Proportional to 2,077.29, 2,865.83 and 1,456.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.29 : 2,865.83 = 1,456.65 : x
2. Step 2: Convert to fraction form
   2,077.29/2,865.83 = 1,456.65/x
3. Step 3: Cross multiply
   2,077.29x = 2,865.83 × 1,456.65
4. Step 4: Simplify right side
   2,077.29x = 4,174,503.99
5. Step 5: Solve for x
   x = 4,174,503.99/2,077.29
6. Step 6: Final answer
   x = 2,009.59