Finding the Fourth Proportional to 5,416.56, 8,138.54 and 5,197.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,416.56 : 8,138.54 = 5,197.86 : x
2. Step 2: Convert to fraction form
   5,416.56/8,138.54 = 5,197.86/x
3. Step 3: Cross multiply
   5,416.56x = 8,138.54 × 5,197.86
4. Step 4: Simplify right side
   5,416.56x = 42,303,004.52
5. Step 5: Solve for x
   x = 42,303,004.52/5,416.56
6. Step 6: Final answer
   x = 7,809.94