Finding the Fourth Proportional to 9,894.72, 13,648.65 and 7,767.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894.72 : 13,648.65 = 7,767.06 : x
2. Step 2: Convert to fraction form
   9,894.72/13,648.65 = 7,767.06/x
3. Step 3: Cross multiply
   9,894.72x = 13,648.65 × 7,767.06
4. Step 4: Simplify right side
   9,894.72x = 106,009,883.47
5. Step 5: Solve for x
   x = 106,009,883.47/9,894.72
6. Step 6: Final answer
   x = 10,713.78