Finding the Fourth Proportional to 10,142.95, 13,996.79 and 5,665.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.95 : 13,996.79 = 5,665.81 : x
2. Step 2: Convert to fraction form
   10,142.95/13,996.79 = 5,665.81/x
3. Step 3: Cross multiply
   10,142.95x = 13,996.79 × 5,665.81
4. Step 4: Simplify right side
   10,142.95x = 79,303,152.75
5. Step 5: Solve for x
   x = 79,303,152.75/10,142.95
6. Step 6: Final answer
   x = 7,818.55