Finding the Fourth Proportional to 5,695.40, 8,547.42 and 3,842.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,695.40 : 8,547.42 = 3,842.12 : x
2. Step 2: Convert to fraction form
   5,695.40/8,547.42 = 3,842.12/x
3. Step 3: Cross multiply
   5,695.40x = 8,547.42 × 3,842.12
4. Step 4: Simplify right side
   5,695.40x = 32,840,213.33
5. Step 5: Solve for x
   x = 32,840,213.33/5,695.40
6. Step 6: Final answer
   x = 5,766.09