Finding the Fourth Proportional to 9,933.14, 14,870.55 and 7,838.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,933.14 : 14,870.55 = 7,838.48 : x
2. Step 2: Convert to fraction form
   9,933.14/14,870.55 = 7,838.48/x
3. Step 3: Cross multiply
   9,933.14x = 14,870.55 × 7,838.48
4. Step 4: Simplify right side
   9,933.14x = 116,562,508.76
5. Step 5: Solve for x
   x = 116,562,508.76/9,933.14
6. Step 6: Final answer
   x = 11,734.71