Finding the Fourth Proportional to 12,777.97, 17,633.41 and 7,401.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,777.97 : 17,633.41 = 7,401.13 : x
2. Step 2: Convert to fraction form
   12,777.97/17,633.41 = 7,401.13/x
3. Step 3: Cross multiply
   12,777.97x = 17,633.41 × 7,401.13
4. Step 4: Simplify right side
   12,777.97x = 130,507,159.75
5. Step 5: Solve for x
   x = 130,507,159.75/12,777.97
6. Step 6: Final answer
   x = 10,213.45