Finding the Fourth Proportional to 10,204.18, 14,083.24 and 5,667.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.18 : 14,083.24 = 5,667.90 : x
2. Step 2: Convert to fraction form
   10,204.18/14,083.24 = 5,667.90/x
3. Step 3: Cross multiply
   10,204.18x = 14,083.24 × 5,667.90
4. Step 4: Simplify right side
   10,204.18x = 79,822,396.00
5. Step 5: Solve for x
   x = 79,822,396.00/10,204.18
6. Step 6: Final answer
   x = 7,822.52