Finding the Fourth Proportional to 2,532.16, 3,494.61 and 1,537.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.16 : 3,494.61 = 1,537.69 : x
2. Step 2: Convert to fraction form
   2,532.16/3,494.61 = 1,537.69/x
3. Step 3: Cross multiply
   2,532.16x = 3,494.61 × 1,537.69
4. Step 4: Simplify right side
   2,532.16x = 5,373,626.85
5. Step 5: Solve for x
   x = 5,373,626.85/2,532.16
6. Step 6: Final answer
   x = 2,122.15