Finding the Fourth Proportional to 2,064.98, 3,098.85 and 766.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.98 : 3,098.85 = 766.58 : x
2. Step 2: Convert to fraction form
   2,064.98/3,098.85 = 766.58/x
3. Step 3: Cross multiply
   2,064.98x = 3,098.85 × 766.58
4. Step 4: Simplify right side
   2,064.98x = 2,375,516.43
5. Step 5: Solve for x
   x = 2,375,516.43/2,064.98
6. Step 6: Final answer
   x = 1,150.38