Finding the Fourth Proportional to 5,402.16, 8,105.76 and 5,314.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,402.16 : 8,105.76 = 5,314.80 : x
2. Step 2: Convert to fraction form
   5,402.16/8,105.76 = 5,314.80/x
3. Step 3: Cross multiply
   5,402.16x = 8,105.76 × 5,314.80
4. Step 4: Simplify right side
   5,402.16x = 43,080,493.25
5. Step 5: Solve for x
   x = 43,080,493.25/5,402.16
6. Step 6: Final answer
   x = 7,974.68