Finding the Fourth Proportional to 1,406.10, 1,940.49 and 846.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.10 : 1,940.49 = 846.75 : x
2. Step 2: Convert to fraction form
   1,406.10/1,940.49 = 846.75/x
3. Step 3: Cross multiply
   1,406.10x = 1,940.49 × 846.75
4. Step 4: Simplify right side
   1,406.10x = 1,643,109.91
5. Step 5: Solve for x
   x = 1,643,109.91/1,406.10
6. Step 6: Final answer
   x = 1,168.56