Finding the Fourth Proportional to 1,066.16, 1,469.30 and 770.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.16 : 1,469.30 = 770.92 : x
2. Step 2: Convert to fraction form
   1,066.16/1,469.30 = 770.92/x
3. Step 3: Cross multiply
   1,066.16x = 1,469.30 × 770.92
4. Step 4: Simplify right side
   1,066.16x = 1,132,712.76
5. Step 5: Solve for x
   x = 1,132,712.76/1,066.16
6. Step 6: Final answer
   x = 1,062.42