Finding the Fourth Proportional to 9,314.30, 12,850.56 and 5,536.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.30 : 12,850.56 = 5,536.26 : x
2. Step 2: Convert to fraction form
   9,314.30/12,850.56 = 5,536.26/x
3. Step 3: Cross multiply
   9,314.30x = 12,850.56 × 5,536.26
4. Step 4: Simplify right side
   9,314.30x = 71,144,041.31
5. Step 5: Solve for x
   x = 71,144,041.31/9,314.30
6. Step 6: Final answer
   x = 7,638.16