Finding the Fourth Proportional to 1,100.10, 1,648.89 and 552.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.10 : 1,648.89 = 552.69 : x
2. Step 2: Convert to fraction form
   1,100.10/1,648.89 = 552.69/x
3. Step 3: Cross multiply
   1,100.10x = 1,648.89 × 552.69
4. Step 4: Simplify right side
   1,100.10x = 911,325.01
5. Step 5: Solve for x
   x = 911,325.01/1,100.10
6. Step 6: Final answer
   x = 828.40