Finding the Fourth Proportional to 10,221.81, 15,323.48 and 3,646.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.81 : 15,323.48 = 3,646.43 : x
2. Step 2: Convert to fraction form
   10,221.81/15,323.48 = 3,646.43/x
3. Step 3: Cross multiply
   10,221.81x = 15,323.48 × 3,646.43
4. Step 4: Simplify right side
   10,221.81x = 55,876,026.37
5. Step 5: Solve for x
   x = 55,876,026.37/10,221.81
6. Step 6: Final answer
   x = 5,466.35