Finding the Fourth Proportional to 1,406.31, 1,942.43 and 965.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.31 : 1,942.43 = 965.67 : x
2. Step 2: Convert to fraction form
   1,406.31/1,942.43 = 965.67/x
3. Step 3: Cross multiply
   1,406.31x = 1,942.43 × 965.67
4. Step 4: Simplify right side
   1,406.31x = 1,875,746.38
5. Step 5: Solve for x
   x = 1,875,746.38/1,406.31
6. Step 6: Final answer
   x = 1,333.81