Finding the Fourth Proportional to 9,321.21, 13,978.17 and 3,474.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,321.21 : 13,978.17 = 3,474.63 : x
2. Step 2: Convert to fraction form
   9,321.21/13,978.17 = 3,474.63/x
3. Step 3: Cross multiply
   9,321.21x = 13,978.17 × 3,474.63
4. Step 4: Simplify right side
   9,321.21x = 48,568,968.83
5. Step 5: Solve for x
   x = 48,568,968.83/9,321.21
6. Step 6: Final answer
   x = 5,210.59