Finding the Fourth Proportional to 2,006.16, 2,768.42 and 1,109.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.16 : 2,768.42 = 1,109.84 : x
2. Step 2: Convert to fraction form
   2,006.16/2,768.42 = 1,109.84/x
3. Step 3: Cross multiply
   2,006.16x = 2,768.42 × 1,109.84
4. Step 4: Simplify right side
   2,006.16x = 3,072,503.25
5. Step 5: Solve for x
   x = 3,072,503.25/2,006.16
6. Step 6: Final answer
   x = 1,531.53