Finding the Fourth Proportional to 11,600, 17,376.96 and 5,738.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,600 : 17,376.96 = 5,738.72 : x
2. Step 2: Convert to fraction form
   11,600/17,376.96 = 5,738.72/x
3. Step 3: Cross multiply
   11,600x = 17,376.96 × 5,738.72
4. Step 4: Simplify right side
   11,600x = 99,721,507.89
5. Step 5: Solve for x
   x = 99,721,507.89/11,600
6. Step 6: Final answer
   x = 8,596.68