Finding the Fourth Proportional to 10,084.93, 13,918.43 and 6,105.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.93 : 13,918.43 = 6,105.94 : x
2. Step 2: Convert to fraction form
   10,084.93/13,918.43 = 6,105.94/x
3. Step 3: Cross multiply
   10,084.93x = 13,918.43 × 6,105.94
4. Step 4: Simplify right side
   10,084.93x = 84,985,098.47
5. Step 5: Solve for x
   x = 84,985,098.47/10,084.93
6. Step 6: Final answer
   x = 8,426.94