Finding the Fourth Proportional to 10,774.98, 16,165.34 and 9,746.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,774.98 : 16,165.34 = 9,746.82 : x
2. Step 2: Convert to fraction form
   10,774.98/16,165.34 = 9,746.82/x
3. Step 3: Cross multiply
   10,774.98x = 16,165.34 × 9,746.82
4. Step 4: Simplify right side
   10,774.98x = 157,560,659.22
5. Step 5: Solve for x
   x = 157,560,659.22/10,774.98
6. Step 6: Final answer
   x = 14,622.83