Finding the Fourth Proportional to 9,978.36, 14,967.40 and 2,582.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.36 : 14,967.40 = 2,582.20 : x
2. Step 2: Convert to fraction form
   9,978.36/14,967.40 = 2,582.20/x
3. Step 3: Cross multiply
   9,978.36x = 14,967.40 × 2,582.20
4. Step 4: Simplify right side
   9,978.36x = 38,648,820.28
5. Step 5: Solve for x
   x = 38,648,820.28/9,978.36
6. Step 6: Final answer
   x = 3,873.26