Finding the Fourth Proportional to 6,945.94, 9,585.25 and 3,802.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.94 : 9,585.25 = 3,802.10 : x
2. Step 2: Convert to fraction form
   6,945.94/9,585.25 = 3,802.10/x
3. Step 3: Cross multiply
   6,945.94x = 9,585.25 × 3,802.10
4. Step 4: Simplify right side
   6,945.94x = 36,444,079.03
5. Step 5: Solve for x
   x = 36,444,079.03/6,945.94
6. Step 6: Final answer
   x = 5,246.82