Finding the Fourth Proportional to 9,256.58, 12,769.96 and 5,897.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.58 : 12,769.96 = 5,897.57 : x
2. Step 2: Convert to fraction form
   9,256.58/12,769.96 = 5,897.57/x
3. Step 3: Cross multiply
   9,256.58x = 12,769.96 × 5,897.57
4. Step 4: Simplify right side
   9,256.58x = 75,311,733.00
5. Step 5: Solve for x
   x = 75,311,733.00/9,256.58
6. Step 6: Final answer
   x = 8,136.02