Finding the Fourth Proportional to 10,675.95, 14,733.09 and 5,896.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,675.95 : 14,733.09 = 5,896.14 : x
2. Step 2: Convert to fraction form
   10,675.95/14,733.09 = 5,896.14/x
3. Step 3: Cross multiply
   10,675.95x = 14,733.09 × 5,896.14
4. Step 4: Simplify right side
   10,675.95x = 86,868,361.27
5. Step 5: Solve for x
   x = 86,868,361.27/10,675.95
6. Step 6: Final answer
   x = 8,136.83