Finding the Fourth Proportional to 10,136.84, 13,992.18 and 5,945

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.84 : 13,992.18 = 5,945 : x
2. Step 2: Convert to fraction form
   10,136.84/13,992.18 = 5,945/x
3. Step 3: Cross multiply
   10,136.84x = 13,992.18 × 5,945
4. Step 4: Simplify right side
   10,136.84x = 83,183,510.10
5. Step 5: Solve for x
   x = 83,183,510.10/10,136.84
6. Step 6: Final answer
   x = 8,206.06