Finding the Fourth Proportional to 6,777.90, 10,164.69 and 3,490.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,777.90 : 10,164.69 = 3,490.56 : x
2. Step 2: Convert to fraction form
   6,777.90/10,164.69 = 3,490.56/x
3. Step 3: Cross multiply
   6,777.90x = 10,164.69 × 3,490.56
4. Step 4: Simplify right side
   6,777.90x = 35,480,460.33
5. Step 5: Solve for x
   x = 35,480,460.33/6,777.90
6. Step 6: Final answer
   x = 5,234.73