Finding the Fourth Proportional to 1,106.20, 1,534.83 and 1,096.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.20 : 1,534.83 = 1,096.78 : x
2. Step 2: Convert to fraction form
   1,106.20/1,534.83 = 1,096.78/x
3. Step 3: Cross multiply
   1,106.20x = 1,534.83 × 1,096.78
4. Step 4: Simplify right side
   1,106.20x = 1,683,370.85
5. Step 5: Solve for x
   x = 1,683,370.85/1,106.20
6. Step 6: Final answer
   x = 1,521.76