Finding the Fourth Proportional to 9,822.42, 14,733.36 and 3,978.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.42 : 14,733.36 = 3,978.81 : x
2. Step 2: Convert to fraction form
   9,822.42/14,733.36 = 3,978.81/x
3. Step 3: Cross multiply
   9,822.42x = 14,733.36 × 3,978.81
4. Step 4: Simplify right side
   9,822.42x = 58,621,240.10
5. Step 5: Solve for x
   x = 58,621,240.10/9,822.42
6. Step 6: Final answer
   x = 5,968.11