Finding the Fourth Proportional to 1,105.84, 1,656.33 and 819.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.84 : 1,656.33 = 819.10 : x
2. Step 2: Convert to fraction form
   1,105.84/1,656.33 = 819.10/x
3. Step 3: Cross multiply
   1,105.84x = 1,656.33 × 819.10
4. Step 4: Simplify right side
   1,105.84x = 1,356,699.90
5. Step 5: Solve for x
   x = 1,356,699.90/1,105.84
6. Step 6: Final answer
   x = 1,226.85