Finding the Fourth Proportional to 5,966.86, 8,234.31 and 3,730.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,966.86 : 8,234.31 = 3,730.05 : x
2. Step 2: Convert to fraction form
   5,966.86/8,234.31 = 3,730.05/x
3. Step 3: Cross multiply
   5,966.86x = 8,234.31 × 3,730.05
4. Step 4: Simplify right side
   5,966.86x = 30,714,381.02
5. Step 5: Solve for x
   x = 30,714,381.02/5,966.86
6. Step 6: Final answer
   x = 5,147.50