Finding the Fourth Proportional to 9,815.22, 13,540.59 and 5,834.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.22 : 13,540.59 = 5,834.16 : x
2. Step 2: Convert to fraction form
   9,815.22/13,540.59 = 5,834.16/x
3. Step 3: Cross multiply
   9,815.22x = 13,540.59 × 5,834.16
4. Step 4: Simplify right side
   9,815.22x = 78,997,968.55
5. Step 5: Solve for x
   x = 78,997,968.55/9,815.22
6. Step 6: Final answer
   x = 8,048.52