Finding the Fourth Proportional to 1,406.32, 1,940.75 and 846.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.32 : 1,940.75 = 846.40 : x
2. Step 2: Convert to fraction form
   1,406.32/1,940.75 = 846.40/x
3. Step 3: Cross multiply
   1,406.32x = 1,940.75 × 846.40
4. Step 4: Simplify right side
   1,406.32x = 1,642,650.80
5. Step 5: Solve for x
   x = 1,642,650.80/1,406.32
6. Step 6: Final answer
   x = 1,168.05