Finding the Fourth Proportional to 4,799.89, 7,188.67 and 4,633.60

Step by Step Solution

1. Step 1: Write the proportion equation
   4,799.89 : 7,188.67 = 4,633.60 : x
2. Step 2: Convert to fraction form
   4,799.89/7,188.67 = 4,633.60/x
3. Step 3: Cross multiply
   4,799.89x = 7,188.67 × 4,633.60
4. Step 4: Simplify right side
   4,799.89x = 33,309,421.31
5. Step 5: Solve for x
   x = 33,309,421.31/4,799.89
6. Step 6: Final answer
   x = 6,939.62