Finding the Fourth Proportional to 9,812.81, 13,541.82 and 5,336.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.81 : 13,541.82 = 5,336.56 : x
2. Step 2: Convert to fraction form
   9,812.81/13,541.82 = 5,336.56/x
3. Step 3: Cross multiply
   9,812.81x = 13,541.82 × 5,336.56
4. Step 4: Simplify right side
   9,812.81x = 72,266,734.94
5. Step 5: Solve for x
   x = 72,266,734.94/9,812.81
6. Step 6: Final answer
   x = 7,364.53