Finding the Fourth Proportional to 7,827.72, 11,733.37 and 3,664.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.72 : 11,733.37 = 3,664.22 : x
2. Step 2: Convert to fraction form
   7,827.72/11,733.37 = 3,664.22/x
3. Step 3: Cross multiply
   7,827.72x = 11,733.37 × 3,664.22
4. Step 4: Simplify right side
   7,827.72x = 42,993,649.02
5. Step 5: Solve for x
   x = 42,993,649.02/7,827.72
6. Step 6: Final answer
   x = 5,492.49