Finding the Fourth Proportional to 3,667.66, 5,492.38 and 2,566.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.66 : 5,492.38 = 2,566.88 : x
2. Step 2: Convert to fraction form
   3,667.66/5,492.38 = 2,566.88/x
3. Step 3: Cross multiply
   3,667.66x = 5,492.38 × 2,566.88
4. Step 4: Simplify right side
   3,667.66x = 14,098,280.37
5. Step 5: Solve for x
   x = 14,098,280.37/3,667.66
6. Step 6: Final answer
   x = 3,843.94