Finding the Fourth Proportional to 5,666.55, 7,817.33 and 3,776.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666.55 : 7,817.33 = 3,776.30 : x
2. Step 2: Convert to fraction form
   5,666.55/7,817.33 = 3,776.30/x
3. Step 3: Cross multiply
   5,666.55x = 7,817.33 × 3,776.30
4. Step 4: Simplify right side
   5,666.55x = 29,520,525.31
5. Step 5: Solve for x
   x = 29,520,525.31/5,666.55
6. Step 6: Final answer
   x = 5,209.61