Finding the Fourth Proportional to 2,402.24, 3,603.76 and 1,477.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.24 : 3,603.76 = 1,477.20 : x
2. Step 2: Convert to fraction form
   2,402.24/3,603.76 = 1,477.20/x
3. Step 3: Cross multiply
   2,402.24x = 3,603.76 × 1,477.20
4. Step 4: Simplify right side
   2,402.24x = 5,323,474.27
5. Step 5: Solve for x
   x = 5,323,474.27/2,402.24
6. Step 6: Final answer
   x = 2,216.05