Finding the Fourth Proportional to 9,825.98, 13,557.74 and 5,846.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.98 : 13,557.74 = 5,846.31 : x
2. Step 2: Convert to fraction form
   9,825.98/13,557.74 = 5,846.31/x
3. Step 3: Cross multiply
   9,825.98x = 13,557.74 × 5,846.31
4. Step 4: Simplify right side
   9,825.98x = 79,262,750.94
5. Step 5: Solve for x
   x = 79,262,750.94/9,825.98
6. Step 6: Final answer
   x = 8,066.65