Finding the Fourth Proportional to 9,634.72, 14,446.59 and 3,788.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.72 : 14,446.59 = 3,788.14 : x
2. Step 2: Convert to fraction form
   9,634.72/14,446.59 = 3,788.14/x
3. Step 3: Cross multiply
   9,634.72x = 14,446.59 × 3,788.14
4. Step 4: Simplify right side
   9,634.72x = 54,725,705.44
5. Step 5: Solve for x
   x = 54,725,705.44/9,634.72
6. Step 6: Final answer
   x = 5,680.05