Finding the Fourth Proportional to 9,264.24, 12,784.50 and 5,285.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,264.24 : 12,784.50 = 5,285.34 : x
2. Step 2: Convert to fraction form
   9,264.24/12,784.50 = 5,285.34/x
3. Step 3: Cross multiply
   9,264.24x = 12,784.50 × 5,285.34
4. Step 4: Simplify right side
   9,264.24x = 67,570,429.23
5. Step 5: Solve for x
   x = 67,570,429.23/9,264.24
6. Step 6: Final answer
   x = 7,293.68