Finding the Fourth Proportional to 11,539.26, 17,302.69 and 5,978.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,539.26 : 17,302.69 = 5,978.81 : x
2. Step 2: Convert to fraction form
   11,539.26/17,302.69 = 5,978.81/x
3. Step 3: Cross multiply
   11,539.26x = 17,302.69 × 5,978.81
4. Step 4: Simplify right side
   11,539.26x = 103,449,379.59
5. Step 5: Solve for x
   x = 103,449,379.59/11,539.26
6. Step 6: Final answer
   x = 8,965.00