Finding the Fourth Proportional to 1,099.72, 1,648.86 and 522.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.72 : 1,648.86 = 522.28 : x
2. Step 2: Convert to fraction form
   1,099.72/1,648.86 = 522.28/x
3. Step 3: Cross multiply
   1,099.72x = 1,648.86 × 522.28
4. Step 4: Simplify right side
   1,099.72x = 861,166.60
5. Step 5: Solve for x
   x = 861,166.60/1,099.72
6. Step 6: Final answer
   x = 783.08