Finding the Fourth Proportional to 9,833.40, 13,538.75 and 9,162.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.40 : 13,538.75 = 9,162.72 : x
2. Step 2: Convert to fraction form
   9,833.40/13,538.75 = 9,162.72/x
3. Step 3: Cross multiply
   9,833.40x = 13,538.75 × 9,162.72
4. Step 4: Simplify right side
   9,833.40x = 124,051,729.59
5. Step 5: Solve for x
   x = 124,051,729.59/9,833.40
6. Step 6: Final answer
   x = 12,615.34