Finding the Fourth Proportional to 2,077.29, 2,865.96 and 1,413

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.29 : 2,865.96 = 1,413 : x
2. Step 2: Convert to fraction form
   2,077.29/2,865.96 = 1,413/x
3. Step 3: Cross multiply
   2,077.29x = 2,865.96 × 1,413
4. Step 4: Simplify right side
   2,077.29x = 4,049,601.48
5. Step 5: Solve for x
   x = 4,049,601.48/2,077.29
6. Step 6: Final answer
   x = 1,949.46