Finding the Fourth Proportional to 9,178.72, 12,658.48 and 7,768.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.72 : 12,658.48 = 7,768.96 : x
2. Step 2: Convert to fraction form
   9,178.72/12,658.48 = 7,768.96/x
3. Step 3: Cross multiply
   9,178.72x = 12,658.48 × 7,768.96
4. Step 4: Simplify right side
   9,178.72x = 98,343,224.78
5. Step 5: Solve for x
   x = 98,343,224.78/9,178.72
6. Step 6: Final answer
   x = 10,714.26