Finding the Fourth Proportional to 9,812.71, 13,541.63 and 5,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.71 : 13,541.63 = 5,336.50 : x
2. Step 2: Convert to fraction form
   9,812.71/13,541.63 = 5,336.50/x
3. Step 3: Cross multiply
   9,812.71x = 13,541.63 × 5,336.50
4. Step 4: Simplify right side
   9,812.71x = 72,264,908.50
5. Step 5: Solve for x
   x = 72,264,908.50/9,812.71
6. Step 6: Final answer
   x = 7,364.42