Finding the Fourth Proportional to 1,098.78, 1,647.56 and 577.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.78 : 1,647.56 = 577.52 : x
2. Step 2: Convert to fraction form
   1,098.78/1,647.56 = 577.52/x
3. Step 3: Cross multiply
   1,098.78x = 1,647.56 × 577.52
4. Step 4: Simplify right side
   1,098.78x = 951,498.85
5. Step 5: Solve for x
   x = 951,498.85/1,098.78
6. Step 6: Final answer
   x = 865.96