Finding the Fourth Proportional to 1,522.88, 2,282.43 and 1,105.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.88 : 2,282.43 = 1,105.76 : x
2. Step 2: Convert to fraction form
   1,522.88/2,282.43 = 1,105.76/x
3. Step 3: Cross multiply
   1,522.88x = 2,282.43 × 1,105.76
4. Step 4: Simplify right side
   1,522.88x = 2,523,819.80
5. Step 5: Solve for x
   x = 2,523,819.80/1,522.88
6. Step 6: Final answer
   x = 1,657.27