Finding the Fourth Proportional to 9,541.98, 14,297.58 and 5,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.98 : 14,297.58 = 5,161.50 : x
2. Step 2: Convert to fraction form
   9,541.98/14,297.58 = 5,161.50/x
3. Step 3: Cross multiply
   9,541.98x = 14,297.58 × 5,161.50
4. Step 4: Simplify right side
   9,541.98x = 73,796,959.17
5. Step 5: Solve for x
   x = 73,796,959.17/9,541.98
6. Step 6: Final answer
   x = 7,733.93