Finding the Fourth Proportional to 9,563.37, 14,314.34 and 5,109.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.37 : 14,314.34 = 5,109.90 : x
2. Step 2: Convert to fraction form
   9,563.37/14,314.34 = 5,109.90/x
3. Step 3: Cross multiply
   9,563.37x = 14,314.34 × 5,109.90
4. Step 4: Simplify right side
   9,563.37x = 73,144,858.74
5. Step 5: Solve for x
   x = 73,144,858.74/9,563.37
6. Step 6: Final answer
   x = 7,648.44