Finding the Fourth Proportional to 2,006.78, 2,769.32 and 1,122.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.78 : 2,769.32 = 1,122.59 : x
2. Step 2: Convert to fraction form
   2,006.78/2,769.32 = 1,122.59/x
3. Step 3: Cross multiply
   2,006.78x = 2,769.32 × 1,122.59
4. Step 4: Simplify right side
   2,006.78x = 3,108,820.67
5. Step 5: Solve for x
   x = 3,108,820.67/2,006.78
6. Step 6: Final answer
   x = 1,549.16