Finding the Fourth Proportional to 9,788.84, 14,689.43 and 5,117.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.84 : 14,689.43 = 5,117.27 : x
2. Step 2: Convert to fraction form
   9,788.84/14,689.43 = 5,117.27/x
3. Step 3: Cross multiply
   9,788.84x = 14,689.43 × 5,117.27
4. Step 4: Simplify right side
   9,788.84x = 75,169,680.42
5. Step 5: Solve for x
   x = 75,169,680.42/9,788.84
6. Step 6: Final answer
   x = 7,679.12