Finding the Fourth Proportional to 6,789.30, 10,173.02 and 4,186.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789.30 : 10,173.02 = 4,186.77 : x
2. Step 2: Convert to fraction form
   6,789.30/10,173.02 = 4,186.77/x
3. Step 3: Cross multiply
   6,789.30x = 10,173.02 × 4,186.77
4. Step 4: Simplify right side
   6,789.30x = 42,592,074.01
5. Step 5: Solve for x
   x = 42,592,074.01/6,789.30
6. Step 6: Final answer
   x = 6,273.41