Finding the Fourth Proportional to 7,826.72, 11,731.87 and 3,663.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.72 : 11,731.87 = 3,663.22 : x
2. Step 2: Convert to fraction form
   7,826.72/11,731.87 = 3,663.22/x
3. Step 3: Cross multiply
   7,826.72x = 11,731.87 × 3,663.22
4. Step 4: Simplify right side
   7,826.72x = 42,976,420.82
5. Step 5: Solve for x
   x = 42,976,420.82/7,826.72
6. Step 6: Final answer
   x = 5,490.99