Finding the Fourth Proportional to 2,002.78, 3,005.53 and 1,126.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 3,005.53 = 1,126.61 : x
2. Step 2: Convert to fraction form
   2,002.78/3,005.53 = 1,126.61/x
3. Step 3: Cross multiply
   2,002.78x = 3,005.53 × 1,126.61
4. Step 4: Simplify right side
   2,002.78x = 3,386,056.75
5. Step 5: Solve for x
   x = 3,386,056.75/2,002.78
6. Step 6: Final answer
   x = 1,690.68