Finding the Fourth Proportional to 11,640.81, 17,458.77 and 5,799.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640.81 : 17,458.77 = 5,799.09 : x
2. Step 2: Convert to fraction form
   11,640.81/17,458.77 = 5,799.09/x
3. Step 3: Cross multiply
   11,640.81x = 17,458.77 × 5,799.09
4. Step 4: Simplify right side
   11,640.81x = 101,244,978.52
5. Step 5: Solve for x
   x = 101,244,978.52/11,640.81
6. Step 6: Final answer
   x = 8,697.42