Finding the Fourth Proportional to 5,653.05, 7,802.15 and 3,835.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,653.05 : 7,802.15 = 3,835.27 : x
2. Step 2: Convert to fraction form
   5,653.05/7,802.15 = 3,835.27/x
3. Step 3: Cross multiply
   5,653.05x = 7,802.15 × 3,835.27
4. Step 4: Simplify right side
   5,653.05x = 29,923,351.83
5. Step 5: Solve for x
   x = 29,923,351.83/5,653.05
6. Step 6: Final answer
   x = 5,293.31