Finding the Fourth Proportional to 9,585.66, 13,228.56 and 5,336.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.66 : 13,228.56 = 5,336.94 : x
2. Step 2: Convert to fraction form
   9,585.66/13,228.56 = 5,336.94/x
3. Step 3: Cross multiply
   9,585.66x = 13,228.56 × 5,336.94
4. Step 4: Simplify right side
   9,585.66x = 70,600,031.01
5. Step 5: Solve for x
   x = 70,600,031.01/9,585.66
6. Step 6: Final answer
   x = 7,365.17