Finding the Fourth Proportional to 9,585.60, 13,227.76 and 5,336.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.60 : 13,227.76 = 5,336.83 : x
2. Step 2: Convert to fraction form
   9,585.60/13,227.76 = 5,336.83/x
3. Step 3: Cross multiply
   9,585.60x = 13,227.76 × 5,336.83
4. Step 4: Simplify right side
   9,585.60x = 70,594,259.99
5. Step 5: Solve for x
   x = 70,594,259.99/9,585.60
6. Step 6: Final answer
   x = 7,364.62