Finding the Fourth Proportional to 11,667.42, 16,088.31 and 7,884

Step by Step Solution

1. Step 1: Write the proportion equation
   11,667.42 : 16,088.31 = 7,884 : x
2. Step 2: Convert to fraction form
   11,667.42/16,088.31 = 7,884/x
3. Step 3: Cross multiply
   11,667.42x = 16,088.31 × 7,884
4. Step 4: Simplify right side
   11,667.42x = 126,840,236.04
5. Step 5: Solve for x
   x = 126,840,236.04/11,667.42
6. Step 6: Final answer
   x = 10,871.32