Finding the Fourth Proportional to 2,077.10, 2,881.08 and 2,002.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.10 : 2,881.08 = 2,002.29 : x
2. Step 2: Convert to fraction form
   2,077.10/2,881.08 = 2,002.29/x
3. Step 3: Cross multiply
   2,077.10x = 2,881.08 × 2,002.29
4. Step 4: Simplify right side
   2,077.10x = 5,768,766.83
5. Step 5: Solve for x
   x = 5,768,766.83/2,077.10
6. Step 6: Final answer
   x = 2,777.32