Finding the Fourth Proportional to 9,825.72, 13,557.39 and 5,846.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.72 : 13,557.39 = 5,846.06 : x
2. Step 2: Convert to fraction form
   9,825.72/13,557.39 = 5,846.06/x
3. Step 3: Cross multiply
   9,825.72x = 13,557.39 × 5,846.06
4. Step 4: Simplify right side
   9,825.72x = 79,257,315.38
5. Step 5: Solve for x
   x = 79,257,315.38/9,825.72
6. Step 6: Final answer
   x = 8,066.31