Finding the Fourth Proportional to 9,836.82, 13,574.87 and 5,858.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.82 : 13,574.87 = 5,858.10 : x
2. Step 2: Convert to fraction form
   9,836.82/13,574.87 = 5,858.10/x
3. Step 3: Cross multiply
   9,836.82x = 13,574.87 × 5,858.10
4. Step 4: Simplify right side
   9,836.82x = 79,522,945.95
5. Step 5: Solve for x
   x = 79,522,945.95/9,836.82
6. Step 6: Final answer
   x = 8,084.21