Finding the Fourth Proportional to 9,585.02, 13,222.67 and 8,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.02 : 13,222.67 = 8,256.42 : x
2. Step 2: Convert to fraction form
   9,585.02/13,222.67 = 8,256.42/x
3. Step 3: Cross multiply
   9,585.02x = 13,222.67 × 8,256.42
4. Step 4: Simplify right side
   9,585.02x = 109,171,875.76
5. Step 5: Solve for x
   x = 109,171,875.76/9,585.02
6. Step 6: Final answer
   x = 11,389.84