Finding the Fourth Proportional to 5,151.83, 7,728.17 and 1,642.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,151.83 : 7,728.17 = 1,642.33 : x
2. Step 2: Convert to fraction form
   5,151.83/7,728.17 = 1,642.33/x
3. Step 3: Cross multiply
   5,151.83x = 7,728.17 × 1,642.33
4. Step 4: Simplify right side
   5,151.83x = 12,692,227.57
5. Step 5: Solve for x
   x = 12,692,227.57/5,151.83
6. Step 6: Final answer
   x = 2,463.64