Finding the Fourth Proportional to 1,410.50, 1,946.67 and 851.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.50 : 1,946.67 = 851.28 : x
2. Step 2: Convert to fraction form
   1,410.50/1,946.67 = 851.28/x
3. Step 3: Cross multiply
   1,410.50x = 1,946.67 × 851.28
4. Step 4: Simplify right side
   1,410.50x = 1,657,158.05
5. Step 5: Solve for x
   x = 1,657,158.05/1,410.50
6. Step 6: Final answer
   x = 1,174.88