Finding the Fourth Proportional to 1,406.32, 2,107.23 and 942.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.32 : 2,107.23 = 942.40 : x
2. Step 2: Convert to fraction form
   1,406.32/2,107.23 = 942.40/x
3. Step 3: Cross multiply
   1,406.32x = 2,107.23 × 942.40
4. Step 4: Simplify right side
   1,406.32x = 1,985,853.55
5. Step 5: Solve for x
   x = 1,985,853.55/1,406.32
6. Step 6: Final answer
   x = 1,412.09