Finding the Fourth Proportional to 11,709.86, 17,564.61 and 5,866.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,709.86 : 17,564.61 = 5,866.34 : x
2. Step 2: Convert to fraction form
   11,709.86/17,564.61 = 5,866.34/x
3. Step 3: Cross multiply
   11,709.86x = 17,564.61 × 5,866.34
4. Step 4: Simplify right side
   11,709.86x = 103,039,974.23
5. Step 5: Solve for x
   x = 103,039,974.23/11,709.86
6. Step 6: Final answer
   x = 8,799.42