Finding the Fourth Proportional to 6,967.86, 10,446.69 and 2,585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,967.86 : 10,446.69 = 2,585.34 : x
2. Step 2: Convert to fraction form
   6,967.86/10,446.69 = 2,585.34/x
3. Step 3: Cross multiply
   6,967.86x = 10,446.69 × 2,585.34
4. Step 4: Simplify right side
   6,967.86x = 27,008,245.52
5. Step 5: Solve for x
   x = 27,008,245.52/6,967.86
6. Step 6: Final answer
   x = 3,876.12