Finding the Fourth Proportional to 12,783.98, 17,640.62 and 7,477.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,783.98 : 17,640.62 = 7,477.76 : x
2. Step 2: Convert to fraction form
   12,783.98/17,640.62 = 7,477.76/x
3. Step 3: Cross multiply
   12,783.98x = 17,640.62 × 7,477.76
4. Step 4: Simplify right side
   12,783.98x = 131,912,197.02
5. Step 5: Solve for x
   x = 131,912,197.02/12,783.98
6. Step 6: Final answer
   x = 10,318.56