Finding the Fourth Proportional to 9,314.71, 13,978.34 and 3,471.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.71 : 13,978.34 = 3,471.32 : x
2. Step 2: Convert to fraction form
   9,314.71/13,978.34 = 3,471.32/x
3. Step 3: Cross multiply
   9,314.71x = 13,978.34 × 3,471.32
4. Step 4: Simplify right side
   9,314.71x = 48,523,291.21
5. Step 5: Solve for x
   x = 48,523,291.21/9,314.71
6. Step 6: Final answer
   x = 5,209.32