Finding the Fourth Proportional to 5,641.47, 7,786.71 and 3,284.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.47 : 7,786.71 = 3,284.01 : x
2. Step 2: Convert to fraction form
   5,641.47/7,786.71 = 3,284.01/x
3. Step 3: Cross multiply
   5,641.47x = 7,786.71 × 3,284.01
4. Step 4: Simplify right side
   5,641.47x = 25,571,633.51
5. Step 5: Solve for x
   x = 25,571,633.51/5,641.47
6. Step 6: Final answer
   x = 4,532.80