Finding the Fourth Proportional to 10,145.10, 13,999.91 and 5,896.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,145.10 : 13,999.91 = 5,896.52 : x
2. Step 2: Convert to fraction form
   10,145.10/13,999.91 = 5,896.52/x
3. Step 3: Cross multiply
   10,145.10x = 13,999.91 × 5,896.52
4. Step 4: Simplify right side
   10,145.10x = 82,550,649.83
5. Step 5: Solve for x
   x = 82,550,649.83/10,145.10
6. Step 6: Final answer
   x = 8,137.00