Finding the Fourth Proportional to 10,215.56, 15,323.40 and 3,642.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.56 : 15,323.40 = 3,642.80 : x
2. Step 2: Convert to fraction form
   10,215.56/15,323.40 = 3,642.80/x
3. Step 3: Cross multiply
   10,215.56x = 15,323.40 × 3,642.80
4. Step 4: Simplify right side
   10,215.56x = 55,820,081.52
5. Step 5: Solve for x
   x = 55,820,081.52/10,215.56
6. Step 6: Final answer
   x = 5,464.22