Finding the Fourth Proportional to 1,100.54, 1,649.94 and 553.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.54 : 1,649.94 = 553.08 : x
2. Step 2: Convert to fraction form
   1,100.54/1,649.94 = 553.08/x
3. Step 3: Cross multiply
   1,100.54x = 1,649.94 × 553.08
4. Step 4: Simplify right side
   1,100.54x = 912,548.82
5. Step 5: Solve for x
   x = 912,548.82/1,100.54
6. Step 6: Final answer
   x = 829.19