Finding the Fourth Proportional to 10,141.93, 13,994.48 and 5,665.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.93 : 13,994.48 = 5,665.11 : x
2. Step 2: Convert to fraction form
   10,141.93/13,994.48 = 5,665.11/x
3. Step 3: Cross multiply
   10,141.93x = 13,994.48 × 5,665.11
4. Step 4: Simplify right side
   10,141.93x = 79,280,268.59
5. Step 5: Solve for x
   x = 79,280,268.59/10,141.93
6. Step 6: Final answer
   x = 7,817.08