Finding the Fourth Proportional to 1,100.49, 1,649.58 and 514.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.49 : 1,649.58 = 514.82 : x
2. Step 2: Convert to fraction form
   1,100.49/1,649.58 = 514.82/x
3. Step 3: Cross multiply
   1,100.49x = 1,649.58 × 514.82
4. Step 4: Simplify right side
   1,100.49x = 849,228.53
5. Step 5: Solve for x
   x = 849,228.53/1,100.49
6. Step 6: Final answer
   x = 771.68