Finding the Fourth Proportional to 1,462.41, 2,017.78 and 965.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.41 : 2,017.78 = 965.86 : x
2. Step 2: Convert to fraction form
   1,462.41/2,017.78 = 965.86/x
3. Step 3: Cross multiply
   1,462.41x = 2,017.78 × 965.86
4. Step 4: Simplify right side
   1,462.41x = 1,948,892.99
5. Step 5: Solve for x
   x = 1,948,892.99/1,462.41
6. Step 6: Final answer
   x = 1,332.66