Finding the Fourth Proportional to 7,634.82, 11,432.78 and 3,729

Step by Step Solution

1. Step 1: Write the proportion equation
   7,634.82 : 11,432.78 = 3,729 : x
2. Step 2: Convert to fraction form
   7,634.82/11,432.78 = 3,729/x
3. Step 3: Cross multiply
   7,634.82x = 11,432.78 × 3,729
4. Step 4: Simplify right side
   7,634.82x = 42,632,836.62
5. Step 5: Solve for x
   x = 42,632,836.62/7,634.82
6. Step 6: Final answer
   x = 5,584.00