Finding the Fourth Proportional to 2,365.55, 3,549.85 and 1,586.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.55 : 3,549.85 = 1,586.43 : x
2. Step 2: Convert to fraction form
   2,365.55/3,549.85 = 1,586.43/x
3. Step 3: Cross multiply
   2,365.55x = 3,549.85 × 1,586.43
4. Step 4: Simplify right side
   2,365.55x = 5,631,597.88
5. Step 5: Solve for x
   x = 5,631,597.88/2,365.55
6. Step 6: Final answer
   x = 2,380.67