Finding the Fourth Proportional to 1,602.38, 2,401.47 and 821.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.38 : 2,401.47 = 821.72 : x
2. Step 2: Convert to fraction form
   1,602.38/2,401.47 = 821.72/x
3. Step 3: Cross multiply
   1,602.38x = 2,401.47 × 821.72
4. Step 4: Simplify right side
   1,602.38x = 1,973,335.93
5. Step 5: Solve for x
   x = 1,973,335.93/1,602.38
6. Step 6: Final answer
   x = 1,231.50