Finding the Fourth Proportional to 1,020.78, 1,529.34 and 966.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.78 : 1,529.34 = 966.10 : x
2. Step 2: Convert to fraction form
   1,020.78/1,529.34 = 966.10/x
3. Step 3: Cross multiply
   1,020.78x = 1,529.34 × 966.10
4. Step 4: Simplify right side
   1,020.78x = 1,477,495.37
5. Step 5: Solve for x
   x = 1,477,495.37/1,020.78
6. Step 6: Final answer
   x = 1,447.42