Finding the Fourth Proportional to 10,582.21, 15,862.12 and 3,914.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.21 : 15,862.12 = 3,914.42 : x
2. Step 2: Convert to fraction form
   10,582.21/15,862.12 = 3,914.42/x
3. Step 3: Cross multiply
   10,582.21x = 15,862.12 × 3,914.42
4. Step 4: Simplify right side
   10,582.21x = 62,090,999.77
5. Step 5: Solve for x
   x = 62,090,999.77/10,582.21
6. Step 6: Final answer
   x = 5,867.49