Finding the Fourth Proportional to 1,099.50, 1,650.29 and 514.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 1,650.29 = 514.93 : x
2. Step 2: Convert to fraction form
   1,099.50/1,650.29 = 514.93/x
3. Step 3: Cross multiply
   1,099.50x = 1,650.29 × 514.93
4. Step 4: Simplify right side
   1,099.50x = 849,783.83
5. Step 5: Solve for x
   x = 849,783.83/1,099.50
6. Step 6: Final answer
   x = 772.88