Finding the Fourth Proportional to 3,896, 5,846.72 and 1,587.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896 : 5,846.72 = 1,587.52 : x
2. Step 2: Convert to fraction form
   3,896/5,846.72 = 1,587.52/x
3. Step 3: Cross multiply
   3,896x = 5,846.72 × 1,587.52
4. Step 4: Simplify right side
   3,896x = 9,281,784.93
5. Step 5: Solve for x
   x = 9,281,784.93/3,896
6. Step 6: Final answer
   x = 2,382.39