Finding the Fourth Proportional to 12,827.54, 17,697.12 and 7,789.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,827.54 : 17,697.12 = 7,789.86 : x
2. Step 2: Convert to fraction form
   12,827.54/17,697.12 = 7,789.86/x
3. Step 3: Cross multiply
   12,827.54x = 17,697.12 × 7,789.86
4. Step 4: Simplify right side
   12,827.54x = 137,858,087.20
5. Step 5: Solve for x
   x = 137,858,087.20/12,827.54
6. Step 6: Final answer
   x = 10,747.04