Finding the Fourth Proportional to 5,734.62, 7,906.38 and 3,846.51

Step by Step Solution

1. Step 1: Write the proportion equation
   5,734.62 : 7,906.38 = 3,846.51 : x
2. Step 2: Convert to fraction form
   5,734.62/7,906.38 = 3,846.51/x
3. Step 3: Cross multiply
   5,734.62x = 7,906.38 × 3,846.51
4. Step 4: Simplify right side
   5,734.62x = 30,411,955.31
5. Step 5: Solve for x
   x = 30,411,955.31/5,734.62
6. Step 6: Final answer
   x = 5,303.22