Finding the Fourth Proportional to 11,589.18, 17,385.57 and 3,796.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589.18 : 17,385.57 = 3,796.14 : x
2. Step 2: Convert to fraction form
   11,589.18/17,385.57 = 3,796.14/x
3. Step 3: Cross multiply
   11,589.18x = 17,385.57 × 3,796.14
4. Step 4: Simplify right side
   11,589.18x = 65,998,057.70
5. Step 5: Solve for x
   x = 65,998,057.70/11,589.18
6. Step 6: Final answer
   x = 5,694.80