Finding the Fourth Proportional to 12,782.47, 17,638.55 and 7,476.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.47 : 17,638.55 = 7,476.25 : x
2. Step 2: Convert to fraction form
   12,782.47/17,638.55 = 7,476.25/x
3. Step 3: Cross multiply
   12,782.47x = 17,638.55 × 7,476.25
4. Step 4: Simplify right side
   12,782.47x = 131,870,127.96
5. Step 5: Solve for x
   x = 131,870,127.96/12,782.47
6. Step 6: Final answer
   x = 10,316.48