Finding the Fourth Proportional to 1,410.34, 1,946.46 and 851.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.34 : 1,946.46 = 851.13 : x
2. Step 2: Convert to fraction form
   1,410.34/1,946.46 = 851.13/x
3. Step 3: Cross multiply
   1,410.34x = 1,946.46 × 851.13
4. Step 4: Simplify right side
   1,410.34x = 1,656,676.51
5. Step 5: Solve for x
   x = 1,656,676.51/1,410.34
6. Step 6: Final answer
   x = 1,174.66