Finding the Fourth Proportional to 9,933.12, 13,677.66 and 9,714.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,933.12 : 13,677.66 = 9,714.42 : x
2. Step 2: Convert to fraction form
   9,933.12/13,677.66 = 9,714.42/x
3. Step 3: Cross multiply
   9,933.12x = 13,677.66 × 9,714.42
4. Step 4: Simplify right side
   9,933.12x = 132,870,533.86
5. Step 5: Solve for x
   x = 132,870,533.86/9,933.12
6. Step 6: Final answer
   x = 13,376.52