Finding the Fourth Proportional to 14,602, 20,150.84 and 7,978

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602 : 20,150.84 = 7,978 : x
2. Step 2: Convert to fraction form
   14,602/20,150.84 = 7,978/x
3. Step 3: Cross multiply
   14,602x = 20,150.84 × 7,978
4. Step 4: Simplify right side
   14,602x = 160,763,401.52
5. Step 5: Solve for x
   x = 160,763,401.52/14,602
6. Step 6: Final answer
   x = 11,009.68