Finding the Fourth Proportional to 5,673.36, 7,829.70 and 3,972.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,673.36 : 7,829.70 = 3,972.05 : x
2. Step 2: Convert to fraction form
   5,673.36/7,829.70 = 3,972.05/x
3. Step 3: Cross multiply
   5,673.36x = 7,829.70 × 3,972.05
4. Step 4: Simplify right side
   5,673.36x = 31,099,959.89
5. Step 5: Solve for x
   x = 31,099,959.89/5,673.36
6. Step 6: Final answer
   x = 5,481.75