Finding the Fourth Proportional to 5,896.08, 8,131.86 and 5,186.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.08 : 8,131.86 = 5,186.40 : x
2. Step 2: Convert to fraction form
   5,896.08/8,131.86 = 5,186.40/x
3. Step 3: Cross multiply
   5,896.08x = 8,131.86 × 5,186.40
4. Step 4: Simplify right side
   5,896.08x = 42,175,078.70
5. Step 5: Solve for x
   x = 42,175,078.70/5,896.08
6. Step 6: Final answer
   x = 7,153.07