Finding the Fourth Proportional to 5,705.42, 7,865.61 and 5,581.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,705.42 : 7,865.61 = 5,581.22 : x
2. Step 2: Convert to fraction form
   5,705.42/7,865.61 = 5,581.22/x
3. Step 3: Cross multiply
   5,705.42x = 7,865.61 × 5,581.22
4. Step 4: Simplify right side
   5,705.42x = 43,899,699.84
5. Step 5: Solve for x
   x = 43,899,699.84/5,705.42
6. Step 6: Final answer
   x = 7,694.39