Finding the Fourth Proportional to 11,574.41, 17,364.69 and 5,005.22

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574.41 : 17,364.69 = 5,005.22 : x
2. Step 2: Convert to fraction form
   11,574.41/17,364.69 = 5,005.22/x
3. Step 3: Cross multiply
   11,574.41x = 17,364.69 × 5,005.22
4. Step 4: Simplify right side
   11,574.41x = 86,914,006.86
5. Step 5: Solve for x
   x = 86,914,006.86/11,574.41
6. Step 6: Final answer
   x = 7,509.16