Finding the Fourth Proportional to 9,256.12, 12,769.86 and 5,898.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.12 : 12,769.86 = 5,898.33 : x
2. Step 2: Convert to fraction form
   9,256.12/12,769.86 = 5,898.33/x
3. Step 3: Cross multiply
   9,256.12x = 12,769.86 × 5,898.33
4. Step 4: Simplify right side
   9,256.12x = 75,320,848.33
5. Step 5: Solve for x
   x = 75,320,848.33/9,256.12
6. Step 6: Final answer
   x = 8,137.41