Finding the Fourth Proportional to 6,766, 10,151.32 and 3,646.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,766 : 10,151.32 = 3,646.34 : x
2. Step 2: Convert to fraction form
   6,766/10,151.32 = 3,646.34/x
3. Step 3: Cross multiply
   6,766x = 10,151.32 × 3,646.34
4. Step 4: Simplify right side
   6,766x = 37,015,164.17
5. Step 5: Solve for x
   x = 37,015,164.17/6,766
6. Step 6: Final answer
   x = 5,470.76