Finding the Fourth Proportional to 2,066.19, 3,098.88 and 766.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.19 : 3,098.88 = 766.76 : x
2. Step 2: Convert to fraction form
   2,066.19/3,098.88 = 766.76/x
3. Step 3: Cross multiply
   2,066.19x = 3,098.88 × 766.76
4. Step 4: Simplify right side
   2,066.19x = 2,376,081.73
5. Step 5: Solve for x
   x = 2,376,081.73/2,066.19
6. Step 6: Final answer
   x = 1,149.98