Finding the Fourth Proportional to 2,532.82, 3,494.64 and 1,538.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.82 : 3,494.64 = 1,538.11 : x
2. Step 2: Convert to fraction form
   2,532.82/3,494.64 = 1,538.11/x
3. Step 3: Cross multiply
   2,532.82x = 3,494.64 × 1,538.11
4. Step 4: Simplify right side
   2,532.82x = 5,375,160.70
5. Step 5: Solve for x
   x = 5,375,160.70/2,532.82
6. Step 6: Final answer
   x = 2,122.20