Finding the Fourth Proportional to 7,826.85, 11,732.07 and 3,663.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826.85 : 11,732.07 = 3,663.34 : x
2. Step 2: Convert to fraction form
   7,826.85/11,732.07 = 3,663.34/x
3. Step 3: Cross multiply
   7,826.85x = 11,732.07 × 3,663.34
4. Step 4: Simplify right side
   7,826.85x = 42,978,561.31
5. Step 5: Solve for x
   x = 42,978,561.31/7,826.85
6. Step 6: Final answer
   x = 5,491.17