Finding the Fourth Proportional to 1,603.71, 2,404.55 and 824.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.71 : 2,404.55 = 824.01 : x
2. Step 2: Convert to fraction form
   1,603.71/2,404.55 = 824.01/x
3. Step 3: Cross multiply
   1,603.71x = 2,404.55 × 824.01
4. Step 4: Simplify right side
   1,603.71x = 1,981,369.13
5. Step 5: Solve for x
   x = 1,981,369.13/1,603.71
6. Step 6: Final answer
   x = 1,235.49