Finding the Fourth Proportional to 9,083.50, 12,536.31 and 5,946.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,083.50 : 12,536.31 = 5,946.64 : x
2. Step 2: Convert to fraction form
   9,083.50/12,536.31 = 5,946.64/x
3. Step 3: Cross multiply
   9,083.50x = 12,536.31 × 5,946.64
4. Step 4: Simplify right side
   9,083.50x = 74,548,922.50
5. Step 5: Solve for x
   x = 74,548,922.50/9,083.50
6. Step 6: Final answer
   x = 8,207.07