Finding the Fourth Proportional to 9,978.72, 14,967.93 and 3,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.72 : 14,967.93 = 3,409.50 : x
2. Step 2: Convert to fraction form
   9,978.72/14,967.93 = 3,409.50/x
3. Step 3: Cross multiply
   9,978.72x = 14,967.93 × 3,409.50
4. Step 4: Simplify right side
   9,978.72x = 51,033,157.34
5. Step 5: Solve for x
   x = 51,033,157.34/9,978.72
6. Step 6: Final answer
   x = 5,114.20