Finding the Fourth Proportional to 9,836.58, 13,574.88 and 5,587.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.58 : 13,574.88 = 5,587.59 : x
2. Step 2: Convert to fraction form
   9,836.58/13,574.88 = 5,587.59/x
3. Step 3: Cross multiply
   9,836.58x = 13,574.88 × 5,587.59
4. Step 4: Simplify right side
   9,836.58x = 75,850,863.74
5. Step 5: Solve for x
   x = 75,850,863.74/9,836.58
6. Step 6: Final answer
   x = 7,711.10