Finding the Fourth Proportional to 1,406.26, 1,940.02 and 846.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.26 : 1,940.02 = 846.41 : x
2. Step 2: Convert to fraction form
   1,406.26/1,940.02 = 846.41/x
3. Step 3: Cross multiply
   1,406.26x = 1,940.02 × 846.41
4. Step 4: Simplify right side
   1,406.26x = 1,642,052.33
5. Step 5: Solve for x
   x = 1,642,052.33/1,406.26
6. Step 6: Final answer
   x = 1,167.67