Finding the Fourth Proportional to 1,406.24, 1,939.80 and 846.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.24 : 1,939.80 = 846.32 : x
2. Step 2: Convert to fraction form
   1,406.24/1,939.80 = 846.32/x
3. Step 3: Cross multiply
   1,406.24x = 1,939.80 × 846.32
4. Step 4: Simplify right side
   1,406.24x = 1,641,691.54
5. Step 5: Solve for x
   x = 1,641,691.54/1,406.24
6. Step 6: Final answer
   x = 1,167.43