Finding the Fourth Proportional to 5,665.65, 7,818.86 and 3,147.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.65 : 7,818.86 = 3,147.77 : x
2. Step 2: Convert to fraction form
   5,665.65/7,818.86 = 3,147.77/x
3. Step 3: Cross multiply
   5,665.65x = 7,818.86 × 3,147.77
4. Step 4: Simplify right side
   5,665.65x = 24,611,941.72
5. Step 5: Solve for x
   x = 24,611,941.72/5,665.65
6. Step 6: Final answer
   x = 4,344.06