Finding the Fourth Proportional to 10,085.75, 13,918.39 and 5,836.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.75 : 13,918.39 = 5,836.81 : x
2. Step 2: Convert to fraction form
   10,085.75/13,918.39 = 5,836.81/x
3. Step 3: Cross multiply
   10,085.75x = 13,918.39 × 5,836.81
4. Step 4: Simplify right side
   10,085.75x = 81,238,948.55
5. Step 5: Solve for x
   x = 81,238,948.55/10,085.75
6. Step 6: Final answer
   x = 8,054.83