Finding the Fourth Proportional to 1,410.32, 1,946.81 and 850.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.32 : 1,946.81 = 850.82 : x
2. Step 2: Convert to fraction form
   1,410.32/1,946.81 = 850.82/x
3. Step 3: Cross multiply
   1,410.32x = 1,946.81 × 850.82
4. Step 4: Simplify right side
   1,410.32x = 1,656,377.28
5. Step 5: Solve for x
   x = 1,656,377.28/1,410.32
6. Step 6: Final answer
   x = 1,174.47