Finding the Fourth Proportional to 8,441.76, 11,638.71 and 5,784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   8,441.76 : 11,638.71 = 5,784.42 : x
2. Step 2: Convert to fraction form
   8,441.76/11,638.71 = 5,784.42/x
3. Step 3: Cross multiply
   8,441.76x = 11,638.71 × 5,784.42
4. Step 4: Simplify right side
   8,441.76x = 67,323,186.90
5. Step 5: Solve for x
   x = 67,323,186.90/8,441.76
6. Step 6: Final answer
   x = 7,975.02