Finding the Fourth Proportional to 6,846.42, 9,445.72 and 5,585.28

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846.42 : 9,445.72 = 5,585.28 : x
2. Step 2: Convert to fraction form
   6,846.42/9,445.72 = 5,585.28/x
3. Step 3: Cross multiply
   6,846.42x = 9,445.72 × 5,585.28
4. Step 4: Simplify right side
   6,846.42x = 52,756,991.00
5. Step 5: Solve for x
   x = 52,756,991.00/6,846.42
6. Step 6: Final answer
   x = 7,705.78