Finding the Fourth Proportional to 9,867.56, 13,610.58 and 7,768.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,867.56 : 13,610.58 = 7,768.04 : x
2. Step 2: Convert to fraction form
   9,867.56/13,610.58 = 7,768.04/x
3. Step 3: Cross multiply
   9,867.56x = 13,610.58 × 7,768.04
4. Step 4: Simplify right side
   9,867.56x = 105,727,529.86
5. Step 5: Solve for x
   x = 105,727,529.86/9,867.56
6. Step 6: Final answer
   x = 10,714.66