Finding the Fourth Proportional to 5,105.83, 7,657.12 and 1,642.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.83 : 7,657.12 = 1,642.27 : x
2. Step 2: Convert to fraction form
   5,105.83/7,657.12 = 1,642.27/x
3. Step 3: Cross multiply
   5,105.83x = 7,657.12 × 1,642.27
4. Step 4: Simplify right side
   5,105.83x = 12,575,058.46
5. Step 5: Solve for x
   x = 12,575,058.46/5,105.83
6. Step 6: Final answer
   x = 2,462.88