Finding the Fourth Proportional to 10,612.58, 14,645.83 and 5,896.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,612.58 : 14,645.83 = 5,896.87 : x
2. Step 2: Convert to fraction form
   10,612.58/14,645.83 = 5,896.87/x
3. Step 3: Cross multiply
   10,612.58x = 14,645.83 × 5,896.87
4. Step 4: Simplify right side
   10,612.58x = 86,364,555.55
5. Step 5: Solve for x
   x = 86,364,555.55/10,612.58
6. Step 6: Final answer
   x = 8,137.94