Finding the Fourth Proportional to 2,065.47, 3,097.38 and 766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.47 : 3,097.38 = 766.50 : x
2. Step 2: Convert to fraction form
   2,065.47/3,097.38 = 766.50/x
3. Step 3: Cross multiply
   2,065.47x = 3,097.38 × 766.50
4. Step 4: Simplify right side
   2,065.47x = 2,374,141.77
5. Step 5: Solve for x
   x = 2,374,141.77/2,065.47
6. Step 6: Final answer
   x = 1,149.44