Finding the Fourth Proportional to 7,071.60, 9,758.34 and 3,884.28

Step by Step Solution

1. Step 1: Write the proportion equation
   7,071.60 : 9,758.34 = 3,884.28 : x
2. Step 2: Convert to fraction form
   7,071.60/9,758.34 = 3,884.28/x
3. Step 3: Cross multiply
   7,071.60x = 9,758.34 × 3,884.28
4. Step 4: Simplify right side
   7,071.60x = 37,904,088.30
5. Step 5: Solve for x
   x = 37,904,088.30/7,071.60
6. Step 6: Final answer
   x = 5,360.04