Finding the Fourth Proportional to 9,978.22, 14,967.18 and 3,409

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.22 : 14,967.18 = 3,409 : x
2. Step 2: Convert to fraction form
   9,978.22/14,967.18 = 3,409/x
3. Step 3: Cross multiply
   9,978.22x = 14,967.18 × 3,409
4. Step 4: Simplify right side
   9,978.22x = 51,023,116.62
5. Step 5: Solve for x
   x = 51,023,116.62/9,978.22
6. Step 6: Final answer
   x = 5,113.45