Finding the Fourth Proportional to 9,209.16, 12,701.88 and 5,849.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,209.16 : 12,701.88 = 5,849.10 : x
2. Step 2: Convert to fraction form
   9,209.16/12,701.88 = 5,849.10/x
3. Step 3: Cross multiply
   9,209.16x = 12,701.88 × 5,849.10
4. Step 4: Simplify right side
   9,209.16x = 74,294,566.31
5. Step 5: Solve for x
   x = 74,294,566.31/9,209.16
6. Step 6: Final answer
   x = 8,067.46