Finding the Fourth Proportional to 9,575.10, 13,213.89 and 5,797.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,575.10 : 13,213.89 = 5,797.58 : x
2. Step 2: Convert to fraction form
   9,575.10/13,213.89 = 5,797.58/x
3. Step 3: Cross multiply
   9,575.10x = 13,213.89 × 5,797.58
4. Step 4: Simplify right side
   9,575.10x = 76,608,518.32
5. Step 5: Solve for x
   x = 76,608,518.32/9,575.10
6. Step 6: Final answer
   x = 8,000.81