Finding the Fourth Proportional to 9,109.31, 13,642.10 and 5,205.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.31 : 13,642.10 = 5,205.52 : x
2. Step 2: Convert to fraction form
   9,109.31/13,642.10 = 5,205.52/x
3. Step 3: Cross multiply
   9,109.31x = 13,642.10 × 5,205.52
4. Step 4: Simplify right side
   9,109.31x = 71,014,143.56
5. Step 5: Solve for x
   x = 71,014,143.56/9,109.31
6. Step 6: Final answer
   x = 7,795.78