Finding the Fourth Proportional to 10,978, 16,473.48 and 4,737.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 16,473.48 = 4,737.84 : x
2. Step 2: Convert to fraction form
   10,978/16,473.48 = 4,737.84/x
3. Step 3: Cross multiply
   10,978x = 16,473.48 × 4,737.84
4. Step 4: Simplify right side
   10,978x = 78,048,712.48
5. Step 5: Solve for x
   x = 78,048,712.48/10,978
6. Step 6: Final answer
   x = 7,109.56