Finding the Fourth Proportional to 9,506.25, 13,118.63 and 5,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.25 : 13,118.63 = 5,314.50 : x
2. Step 2: Convert to fraction form
   9,506.25/13,118.63 = 5,314.50/x
3. Step 3: Cross multiply
   9,506.25x = 13,118.63 × 5,314.50
4. Step 4: Simplify right side
   9,506.25x = 69,718,932.56
5. Step 5: Solve for x
   x = 69,718,932.56/9,506.25
6. Step 6: Final answer
   x = 7,334.01