Finding the Fourth Proportional to 1,603.72, 2,404.14 and 577.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.72 : 2,404.14 = 577.48 : x
2. Step 2: Convert to fraction form
   1,603.72/2,404.14 = 577.48/x
3. Step 3: Cross multiply
   1,603.72x = 2,404.14 × 577.48
4. Step 4: Simplify right side
   1,603.72x = 1,388,342.77
5. Step 5: Solve for x
   x = 1,388,342.77/1,603.72
6. Step 6: Final answer
   x = 865.70