Finding the Fourth Proportional to 2,081.84, 3,117 and 1,105.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.84 : 3,117 = 1,105.76 : x
2. Step 2: Convert to fraction form
   2,081.84/3,117 = 1,105.76/x
3. Step 3: Cross multiply
   2,081.84x = 3,117 × 1,105.76
4. Step 4: Simplify right side
   2,081.84x = 3,446,653.92
5. Step 5: Solve for x
   x = 3,446,653.92/2,081.84
6. Step 6: Final answer
   x = 1,655.58