Finding the Fourth Proportional to 1,099.98, 1,650.27 and 514.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.98 : 1,650.27 = 514.96 : x
2. Step 2: Convert to fraction form
   1,099.98/1,650.27 = 514.96/x
3. Step 3: Cross multiply
   1,099.98x = 1,650.27 × 514.96
4. Step 4: Simplify right side
   1,099.98x = 849,820.84
5. Step 5: Solve for x
   x = 849,820.84/1,099.98
6. Step 6: Final answer
   x = 772.58