Finding the Fourth Proportional to 5,105.82, 7,661.64 and 1,985.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.82 : 7,661.64 = 1,985.42 : x
2. Step 2: Convert to fraction form
   5,105.82/7,661.64 = 1,985.42/x
3. Step 3: Cross multiply
   5,105.82x = 7,661.64 × 1,985.42
4. Step 4: Simplify right side
   5,105.82x = 15,211,573.29
5. Step 5: Solve for x
   x = 15,211,573.29/5,105.82
6. Step 6: Final answer
   x = 2,979.26