Finding the Fourth Proportional to 1,601.61, 2,401.20 and 821.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.61 : 2,401.20 = 821.94 : x
2. Step 2: Convert to fraction form
   1,601.61/2,401.20 = 821.94/x
3. Step 3: Cross multiply
   1,601.61x = 2,401.20 × 821.94
4. Step 4: Simplify right side
   1,601.61x = 1,973,642.33
5. Step 5: Solve for x
   x = 1,973,642.33/1,601.61
6. Step 6: Final answer
   x = 1,232.29