Finding the Fourth Proportional to 9,990.32, 14,976.84 and 3,830

Step by Step Solution

1. Step 1: Write the proportion equation
   9,990.32 : 14,976.84 = 3,830 : x
2. Step 2: Convert to fraction form
   9,990.32/14,976.84 = 3,830/x
3. Step 3: Cross multiply
   9,990.32x = 14,976.84 × 3,830
4. Step 4: Simplify right side
   9,990.32x = 57,361,297.20
5. Step 5: Solve for x
   x = 57,361,297.20/9,990.32
6. Step 6: Final answer
   x = 5,741.69