Finding the Fourth Proportional to 9,706.50, 13,394.98 and 5,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.50 : 13,394.98 = 5,290.50 : x
2. Step 2: Convert to fraction form
   9,706.50/13,394.98 = 5,290.50/x
3. Step 3: Cross multiply
   9,706.50x = 13,394.98 × 5,290.50
4. Step 4: Simplify right side
   9,706.50x = 70,866,141.69
5. Step 5: Solve for x
   x = 70,866,141.69/9,706.50
6. Step 6: Final answer
   x = 7,300.90