Finding the Fourth Proportional to 9,566.37, 13,195.51 and 5,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.37 : 13,195.51 = 5,931.50 : x
2. Step 2: Convert to fraction form
   9,566.37/13,195.51 = 5,931.50/x
3. Step 3: Cross multiply
   9,566.37x = 13,195.51 × 5,931.50
4. Step 4: Simplify right side
   9,566.37x = 78,269,086.76
5. Step 5: Solve for x
   x = 78,269,086.76/9,566.37
6. Step 6: Final answer
   x = 8,181.69