Finding the Fourth Proportional to 1,644.07, 2,465.72 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.07 : 2,465.72 = 766.02 : x
2. Step 2: Convert to fraction form
   1,644.07/2,465.72 = 766.02/x
3. Step 3: Cross multiply
   1,644.07x = 2,465.72 × 766.02
4. Step 4: Simplify right side
   1,644.07x = 1,888,790.83
5. Step 5: Solve for x
   x = 1,888,790.83/1,644.07
6. Step 6: Final answer
   x = 1,148.85