Finding the Fourth Proportional to 10,665.22, 15,999.18 and 3,646.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.22 : 15,999.18 = 3,646.58 : x
2. Step 2: Convert to fraction form
   10,665.22/15,999.18 = 3,646.58/x
3. Step 3: Cross multiply
   10,665.22x = 15,999.18 × 3,646.58
4. Step 4: Simplify right side
   10,665.22x = 58,342,289.80
5. Step 5: Solve for x
   x = 58,342,289.80/10,665.22
6. Step 6: Final answer
   x = 5,470.33