Finding the Fourth Proportional to 2,002.16, 2,761.80 and 1,293.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.16 : 2,761.80 = 1,293.68 : x
2. Step 2: Convert to fraction form
   2,002.16/2,761.80 = 1,293.68/x
3. Step 3: Cross multiply
   2,002.16x = 2,761.80 × 1,293.68
4. Step 4: Simplify right side
   2,002.16x = 3,572,885.42
5. Step 5: Solve for x
   x = 3,572,885.42/2,002.16
6. Step 6: Final answer
   x = 1,784.52