Finding the Fourth Proportional to 9,758.91, 14,609.57 and 9,629.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.91 : 14,609.57 = 9,629.31 : x
2. Step 2: Convert to fraction form
   9,758.91/14,609.57 = 9,629.31/x
3. Step 3: Cross multiply
   9,758.91x = 14,609.57 × 9,629.31
4. Step 4: Simplify right side
   9,758.91x = 140,680,030.35
5. Step 5: Solve for x
   x = 140,680,030.35/9,758.91
6. Step 6: Final answer
   x = 14,415.55