Finding the Fourth Proportional to 4,312.78, 5,945.61 and 3,646.96

Step by Step Solution

1. Step 1: Write the proportion equation
   4,312.78 : 5,945.61 = 3,646.96 : x
2. Step 2: Convert to fraction form
   4,312.78/5,945.61 = 3,646.96/x
3. Step 3: Cross multiply
   4,312.78x = 5,945.61 × 3,646.96
4. Step 4: Simplify right side
   4,312.78x = 21,683,401.85
5. Step 5: Solve for x
   x = 21,683,401.85/4,312.78
6. Step 6: Final answer
   x = 5,027.71