Finding the Fourth Proportional to 1,922.56, 2,882.58 and 766.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.56 : 2,882.58 = 766.96 : x
2. Step 2: Convert to fraction form
   1,922.56/2,882.58 = 766.96/x
3. Step 3: Cross multiply
   1,922.56x = 2,882.58 × 766.96
4. Step 4: Simplify right side
   1,922.56x = 2,210,823.56
5. Step 5: Solve for x
   x = 2,210,823.56/1,922.56
6. Step 6: Final answer
   x = 1,149.94