Finding the Fourth Proportional to 2,066.10, 3,098.61 and 766.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.10 : 3,098.61 = 766.86 : x
2. Step 2: Convert to fraction form
   2,066.10/3,098.61 = 766.86/x
3. Step 3: Cross multiply
   2,066.10x = 3,098.61 × 766.86
4. Step 4: Simplify right side
   2,066.10x = 2,376,200.06
5. Step 5: Solve for x
   x = 2,376,200.06/2,066.10
6. Step 6: Final answer
   x = 1,150.09