Finding the Fourth Proportional to 12,783.72, 17,640.27 and 7,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,783.72 : 17,640.27 = 7,477.50 : x
2. Step 2: Convert to fraction form
   12,783.72/17,640.27 = 7,477.50/x
3. Step 3: Cross multiply
   12,783.72x = 17,640.27 × 7,477.50
4. Step 4: Simplify right side
   12,783.72x = 131,905,118.93
5. Step 5: Solve for x
   x = 131,905,118.93/12,783.72
6. Step 6: Final answer
   x = 10,318.21