Finding the Fourth Proportional to 2,064.88, 3,098.54 and 766.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.88 : 3,098.54 = 766.32 : x
2. Step 2: Convert to fraction form
   2,064.88/3,098.54 = 766.32/x
3. Step 3: Cross multiply
   2,064.88x = 3,098.54 × 766.32
4. Step 4: Simplify right side
   2,064.88x = 2,374,473.17
5. Step 5: Solve for x
   x = 2,374,473.17/2,064.88
6. Step 6: Final answer
   x = 1,149.93