Finding the Fourth Proportional to 6,945.84, 9,585.16 and 3,961.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.84 : 9,585.16 = 3,961.72 : x
2. Step 2: Convert to fraction form
   6,945.84/9,585.16 = 3,961.72/x
3. Step 3: Cross multiply
   6,945.84x = 9,585.16 × 3,961.72
4. Step 4: Simplify right side
   6,945.84x = 37,973,744.04
5. Step 5: Solve for x
   x = 37,973,744.04/6,945.84
6. Step 6: Final answer
   x = 5,467.12