Finding the Fourth Proportional to 6,945.83, 9,585.38 and 3,802.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.83 : 9,585.38 = 3,802.02 : x
2. Step 2: Convert to fraction form
   6,945.83/9,585.38 = 3,802.02/x
3. Step 3: Cross multiply
   6,945.83x = 9,585.38 × 3,802.02
4. Step 4: Simplify right side
   6,945.83x = 36,443,806.47
5. Step 5: Solve for x
   x = 36,443,806.47/6,945.83
6. Step 6: Final answer
   x = 5,246.86