Finding the Fourth Proportional to 11,438.56, 17,161.52 and 5,200.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,438.56 : 17,161.52 = 5,200.80 : x
2. Step 2: Convert to fraction form
   11,438.56/17,161.52 = 5,200.80/x
3. Step 3: Cross multiply
   11,438.56x = 17,161.52 × 5,200.80
4. Step 4: Simplify right side
   11,438.56x = 89,253,633.22
5. Step 5: Solve for x
   x = 89,253,633.22/11,438.56
6. Step 6: Final answer
   x = 7,802.87