Finding the Fourth Proportional to 5,105.74, 7,656.81 and 1,642.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.74 : 7,656.81 = 1,642.06 : x
2. Step 2: Convert to fraction form
   5,105.74/7,656.81 = 1,642.06/x
3. Step 3: Cross multiply
   5,105.74x = 7,656.81 × 1,642.06
4. Step 4: Simplify right side
   5,105.74x = 12,572,941.43
5. Step 5: Solve for x
   x = 12,572,941.43/5,105.74
6. Step 6: Final answer
   x = 2,462.51