Finding the Fourth Proportional to 9,812.89, 13,541.82 and 5,336.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.89 : 13,541.82 = 5,336.64 : x
2. Step 2: Convert to fraction form
   9,812.89/13,541.82 = 5,336.64/x
3. Step 3: Cross multiply
   9,812.89x = 13,541.82 × 5,336.64
4. Step 4: Simplify right side
   9,812.89x = 72,267,818.28
5. Step 5: Solve for x
   x = 72,267,818.28/9,812.89
6. Step 6: Final answer
   x = 7,364.58