Finding the Fourth Proportional to 1,099.88, 1,648.91 and 514.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.88 : 1,648.91 = 514.58 : x
2. Step 2: Convert to fraction form
   1,099.88/1,648.91 = 514.58/x
3. Step 3: Cross multiply
   1,099.88x = 1,648.91 × 514.58
4. Step 4: Simplify right side
   1,099.88x = 848,490.89
5. Step 5: Solve for x
   x = 848,490.89/1,099.88
6. Step 6: Final answer
   x = 771.44