Finding the Fourth Proportional to 1,604.20, 2,404.16 and 824.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.20 : 2,404.16 = 824.17 : x
2. Step 2: Convert to fraction form
   1,604.20/2,404.16 = 824.17/x
3. Step 3: Cross multiply
   1,604.20x = 2,404.16 × 824.17
4. Step 4: Simplify right side
   1,604.20x = 1,981,424.53
5. Step 5: Solve for x
   x = 1,981,424.53/1,604.20
6. Step 6: Final answer
   x = 1,235.15