Finding the Fourth Proportional to 5,633.31, 7,767.69 and 4,608.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633.31 : 7,767.69 = 4,608.09 : x
2. Step 2: Convert to fraction form
   5,633.31/7,767.69 = 4,608.09/x
3. Step 3: Cross multiply
   5,633.31x = 7,767.69 × 4,608.09
4. Step 4: Simplify right side
   5,633.31x = 35,794,214.61
5. Step 5: Solve for x
   x = 35,794,214.61/5,633.31
6. Step 6: Final answer
   x = 6,354.03