Finding the Fourth Proportional to 2,366.82, 3,549.83 and 1,542.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366.82 : 3,549.83 = 1,542.65 : x
2. Step 2: Convert to fraction form
   2,366.82/3,549.83 = 1,542.65/x
3. Step 3: Cross multiply
   2,366.82x = 3,549.83 × 1,542.65
4. Step 4: Simplify right side
   2,366.82x = 5,476,119.79
5. Step 5: Solve for x
   x = 5,476,119.79/2,366.82
6. Step 6: Final answer
   x = 2,313.70