Finding the Fourth Proportional to 9,707.50, 13,396.35 and 5,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,707.50 : 13,396.35 = 5,291.50 : x
2. Step 2: Convert to fraction form
   9,707.50/13,396.35 = 5,291.50/x
3. Step 3: Cross multiply
   9,707.50x = 13,396.35 × 5,291.50
4. Step 4: Simplify right side
   9,707.50x = 70,886,786.03
5. Step 5: Solve for x
   x = 70,886,786.03/9,707.50
6. Step 6: Final answer
   x = 7,302.27