Finding the Fourth Proportional to 9,984.34, 14,976.42 and 3,828.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,984.34 : 14,976.42 = 3,828.34 : x
2. Step 2: Convert to fraction form
   9,984.34/14,976.42 = 3,828.34/x
3. Step 3: Cross multiply
   9,984.34x = 14,976.42 × 3,828.34
4. Step 4: Simplify right side
   9,984.34x = 57,334,827.74
5. Step 5: Solve for x
   x = 57,334,827.74/9,984.34
6. Step 6: Final answer
   x = 5,742.48