Finding the Fourth Proportional to 4,663.02, 6,996.42 and 4,589.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,663.02 : 6,996.42 = 4,589.31 : x
2. Step 2: Convert to fraction form
   4,663.02/6,996.42 = 4,589.31/x
3. Step 3: Cross multiply
   4,663.02x = 6,996.42 × 4,589.31
4. Step 4: Simplify right side
   4,663.02x = 32,108,740.27
5. Step 5: Solve for x
   x = 32,108,740.27/4,663.02
6. Step 6: Final answer
   x = 6,885.83