Finding the Fourth Proportional to 9,662.96, 14,407.89 and 9,488

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.96 : 14,407.89 = 9,488 : x
2. Step 2: Convert to fraction form
   9,662.96/14,407.89 = 9,488/x
3. Step 3: Cross multiply
   9,662.96x = 14,407.89 × 9,488
4. Step 4: Simplify right side
   9,662.96x = 136,702,060.32
5. Step 5: Solve for x
   x = 136,702,060.32/9,662.96
6. Step 6: Final answer
   x = 14,147.02