Finding the Fourth Proportional to 6,945.98, 9,585.42 and 3,802.19

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.98 : 9,585.42 = 3,802.19 : x
2. Step 2: Convert to fraction form
   6,945.98/9,585.42 = 3,802.19/x
3. Step 3: Cross multiply
   6,945.98x = 9,585.42 × 3,802.19
4. Step 4: Simplify right side
   6,945.98x = 36,445,588.07
5. Step 5: Solve for x
   x = 36,445,588.07/6,945.98
6. Step 6: Final answer
   x = 5,247.00