Finding the Fourth Proportional to 10,141.21, 13,993.96 and 5,664.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.21 : 13,993.96 = 5,664.34 : x
2. Step 2: Convert to fraction form
   10,141.21/13,993.96 = 5,664.34/x
3. Step 3: Cross multiply
   10,141.21x = 13,993.96 × 5,664.34
4. Step 4: Simplify right side
   10,141.21x = 79,266,547.39
5. Step 5: Solve for x
   x = 79,266,547.39/10,141.21
6. Step 6: Final answer
   x = 7,816.28