Finding the Fourth Proportional to 11,440.56, 17,164.52 and 5,202.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,440.56 : 17,164.52 = 5,202.80 : x
2. Step 2: Convert to fraction form
   11,440.56/17,164.52 = 5,202.80/x
3. Step 3: Cross multiply
   11,440.56x = 17,164.52 × 5,202.80
4. Step 4: Simplify right side
   11,440.56x = 89,303,564.66
5. Step 5: Solve for x
   x = 89,303,564.66/11,440.56
6. Step 6: Final answer
   x = 7,805.87