Finding the Fourth Proportional to 1,406.86, 1,941.94 and 965.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.86 : 1,941.94 = 965.42 : x
2. Step 2: Convert to fraction form
   1,406.86/1,941.94 = 965.42/x
3. Step 3: Cross multiply
   1,406.86x = 1,941.94 × 965.42
4. Step 4: Simplify right side
   1,406.86x = 1,874,787.71
5. Step 5: Solve for x
   x = 1,874,787.71/1,406.86
6. Step 6: Final answer
   x = 1,332.60