Finding the Fourth Proportional to 9,540.47, 13,164.74 and 5,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.47 : 13,164.74 = 5,290.50 : x
2. Step 2: Convert to fraction form
   9,540.47/13,164.74 = 5,290.50/x
3. Step 3: Cross multiply
   9,540.47x = 13,164.74 × 5,290.50
4. Step 4: Simplify right side
   9,540.47x = 69,648,056.97
5. Step 5: Solve for x
   x = 69,648,056.97/9,540.47
6. Step 6: Final answer
   x = 7,300.28