Finding the Fourth Proportional to 2,658.34, 3,667.67 and 1,538.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.34 : 3,667.67 = 1,538.87 : x
2. Step 2: Convert to fraction form
   2,658.34/3,667.67 = 1,538.87/x
3. Step 3: Cross multiply
   2,658.34x = 3,667.67 × 1,538.87
4. Step 4: Simplify right side
   2,658.34x = 5,644,075.85
5. Step 5: Solve for x
   x = 5,644,075.85/2,658.34
6. Step 6: Final answer
   x = 2,123.15