Finding the Fourth Proportional to 12,784.27, 17,638.06 and 7,475.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.27 : 17,638.06 = 7,475.33 : x
2. Step 2: Convert to fraction form
   12,784.27/17,638.06 = 7,475.33/x
3. Step 3: Cross multiply
   12,784.27x = 17,638.06 × 7,475.33
4. Step 4: Simplify right side
   12,784.27x = 131,850,193.49
5. Step 5: Solve for x
   x = 131,850,193.49/12,784.27
6. Step 6: Final answer
   x = 10,313.47