Finding the Fourth Proportional to 6,626.81, 9,145.10 and 3,642.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,626.81 : 9,145.10 = 3,642.71 : x
2. Step 2: Convert to fraction form
   6,626.81/9,145.10 = 3,642.71/x
3. Step 3: Cross multiply
   6,626.81x = 9,145.10 × 3,642.71
4. Step 4: Simplify right side
   6,626.81x = 33,312,910.60
5. Step 5: Solve for x
   x = 33,312,910.60/6,626.81
6. Step 6: Final answer
   x = 5,026.99