Finding the Fourth Proportional to 11,591.34, 15,997.41 and 7,113.53

Step by Step Solution

1. Step 1: Write the proportion equation
   11,591.34 : 15,997.41 = 7,113.53 : x
2. Step 2: Convert to fraction form
   11,591.34/15,997.41 = 7,113.53/x
3. Step 3: Cross multiply
   11,591.34x = 15,997.41 × 7,113.53
4. Step 4: Simplify right side
   11,591.34x = 113,797,975.97
5. Step 5: Solve for x
   x = 113,797,975.97/11,591.34
6. Step 6: Final answer
   x = 9,817.50