Finding the Fourth Proportional to 9,978.39, 14,966.37 and 2,582.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.39 : 14,966.37 = 2,582.22 : x
2. Step 2: Convert to fraction form
   9,978.39/14,966.37 = 2,582.22/x
3. Step 3: Cross multiply
   9,978.39x = 14,966.37 × 2,582.22
4. Step 4: Simplify right side
   9,978.39x = 38,646,459.94
5. Step 5: Solve for x
   x = 38,646,459.94/9,978.39
6. Step 6: Final answer
   x = 3,873.02