Finding the Fourth Proportional to 2,077.72, 2,881.95 and 2,002.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.72 : 2,881.95 = 2,002.92 : x
2. Step 2: Convert to fraction form
   2,077.72/2,881.95 = 2,002.92/x
3. Step 3: Cross multiply
   2,077.72x = 2,881.95 × 2,002.92
4. Step 4: Simplify right side
   2,077.72x = 5,772,315.29
5. Step 5: Solve for x
   x = 5,772,315.29/2,077.72
6. Step 6: Final answer
   x = 2,778.20