Finding the Fourth Proportional to 2,002.59, 2,762.33 and 1,294.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.59 : 2,762.33 = 1,294.16 : x
2. Step 2: Convert to fraction form
   2,002.59/2,762.33 = 1,294.16/x
3. Step 3: Cross multiply
   2,002.59x = 2,762.33 × 1,294.16
4. Step 4: Simplify right side
   2,002.59x = 3,574,876.71
5. Step 5: Solve for x
   x = 3,574,876.71/2,002.59
6. Step 6: Final answer
   x = 1,785.13