Finding the Fourth Proportional to 2,006.17, 2,768.54 and 1,109.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.17 : 2,768.54 = 1,109.87 : x
2. Step 2: Convert to fraction form
   2,006.17/2,768.54 = 1,109.87/x
3. Step 3: Cross multiply
   2,006.17x = 2,768.54 × 1,109.87
4. Step 4: Simplify right side
   2,006.17x = 3,072,700.10
5. Step 5: Solve for x
   x = 3,072,700.10/2,006.17
6. Step 6: Final answer
   x = 1,531.62