Finding the Fourth Proportional to 4,213.61, 5,814.72 and 2,325.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,213.61 : 5,814.72 = 2,325.38 : x
2. Step 2: Convert to fraction form
   4,213.61/5,814.72 = 2,325.38/x
3. Step 3: Cross multiply
   4,213.61x = 5,814.72 × 2,325.38
4. Step 4: Simplify right side
   4,213.61x = 13,521,433.59
5. Step 5: Solve for x
   x = 13,521,433.59/4,213.61
6. Step 6: Final answer
   x = 3,208.99