Finding the Fourth Proportional to 1,106.17, 1,649.50 and 1,096.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.17 : 1,649.50 = 1,096.30 : x
2. Step 2: Convert to fraction form
   1,106.17/1,649.50 = 1,096.30/x
3. Step 3: Cross multiply
   1,106.17x = 1,649.50 × 1,096.30
4. Step 4: Simplify right side
   1,106.17x = 1,808,346.85
5. Step 5: Solve for x
   x = 1,808,346.85/1,106.17
6. Step 6: Final answer
   x = 1,634.78