Finding the Fourth Proportional to 1,462.55, 2,016.22 and 902.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.55 : 2,016.22 = 902.64 : x
2. Step 2: Convert to fraction form
   1,462.55/2,016.22 = 902.64/x
3. Step 3: Cross multiply
   1,462.55x = 2,016.22 × 902.64
4. Step 4: Simplify right side
   1,462.55x = 1,819,920.82
5. Step 5: Solve for x
   x = 1,819,920.82/1,462.55
6. Step 6: Final answer
   x = 1,244.35