Finding the Fourth Proportional to 5,899.76, 8,142.42 and 3,809.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899.76 : 8,142.42 = 3,809.96 : x
2. Step 2: Convert to fraction form
   5,899.76/8,142.42 = 3,809.96/x
3. Step 3: Cross multiply
   5,899.76x = 8,142.42 × 3,809.96
4. Step 4: Simplify right side
   5,899.76x = 31,022,294.50
5. Step 5: Solve for x
   x = 31,022,294.50/5,899.76
6. Step 6: Final answer
   x = 5,258.23