Finding the Fourth Proportional to 9,768.84, 14,656.50 and 6,494.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.84 : 14,656.50 = 6,494.82 : x
2. Step 2: Convert to fraction form
   9,768.84/14,656.50 = 6,494.82/x
3. Step 3: Cross multiply
   9,768.84x = 14,656.50 × 6,494.82
4. Step 4: Simplify right side
   9,768.84x = 95,191,329.33
5. Step 5: Solve for x
   x = 95,191,329.33/9,768.84
6. Step 6: Final answer
   x = 9,744.38