Finding the Fourth Proportional to 1,100.12, 1,649.27 and 514.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.12 : 1,649.27 = 514.83 : x
2. Step 2: Convert to fraction form
   1,100.12/1,649.27 = 514.83/x
3. Step 3: Cross multiply
   1,100.12x = 1,649.27 × 514.83
4. Step 4: Simplify right side
   1,100.12x = 849,091.10
5. Step 5: Solve for x
   x = 849,091.10/1,100.12
6. Step 6: Final answer
   x = 771.82