Finding the Fourth Proportional to 2,657.84, 3,667.76 and 1,538.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.84 : 3,667.76 = 1,538.83 : x
2. Step 2: Convert to fraction form
   2,657.84/3,667.76 = 1,538.83/x
3. Step 3: Cross multiply
   2,657.84x = 3,667.76 × 1,538.83
4. Step 4: Simplify right side
   2,657.84x = 5,644,040.78
5. Step 5: Solve for x
   x = 5,644,040.78/2,657.84
6. Step 6: Final answer
   x = 2,123.54