Finding the Fourth Proportional to 5,839.68, 8,055.84 and 3,742.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,839.68 : 8,055.84 = 3,742.24 : x
2. Step 2: Convert to fraction form
   5,839.68/8,055.84 = 3,742.24/x
3. Step 3: Cross multiply
   5,839.68x = 8,055.84 × 3,742.24
4. Step 4: Simplify right side
   5,839.68x = 30,146,886.68
5. Step 5: Solve for x
   x = 30,146,886.68/5,839.68
6. Step 6: Final answer
   x = 5,162.42