Finding the Fourth Proportional to 9,978.48, 14,969.64 and 3,822

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.48 : 14,969.64 = 3,822 : x
2. Step 2: Convert to fraction form
   9,978.48/14,969.64 = 3,822/x
3. Step 3: Cross multiply
   9,978.48x = 14,969.64 × 3,822
4. Step 4: Simplify right side
   9,978.48x = 57,213,964.08
5. Step 5: Solve for x
   x = 57,213,964.08/9,978.48
6. Step 6: Final answer
   x = 5,733.74