Finding the Fourth Proportional to 1,605.83, 2,407.32 and 824.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.83 : 2,407.32 = 824.18 : x
2. Step 2: Convert to fraction form
   1,605.83/2,407.32 = 824.18/x
3. Step 3: Cross multiply
   1,605.83x = 2,407.32 × 824.18
4. Step 4: Simplify right side
   1,605.83x = 1,984,052.96
5. Step 5: Solve for x
   x = 1,984,052.96/1,605.83
6. Step 6: Final answer
   x = 1,235.53