Finding the Fourth Proportional to 1,405.94, 1,940.16 and 846.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.94 : 1,940.16 = 846.87 : x
2. Step 2: Convert to fraction form
   1,405.94/1,940.16 = 846.87/x
3. Step 3: Cross multiply
   1,405.94x = 1,940.16 × 846.87
4. Step 4: Simplify right side
   1,405.94x = 1,643,063.30
5. Step 5: Solve for x
   x = 1,643,063.30/1,405.94
6. Step 6: Final answer
   x = 1,168.66