Finding the Fourth Proportional to 10,141.60, 13,994.74 and 5,665.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.60 : 13,994.74 = 5,665.13 : x
2. Step 2: Convert to fraction form
   10,141.60/13,994.74 = 5,665.13/x
3. Step 3: Cross multiply
   10,141.60x = 13,994.74 × 5,665.13
4. Step 4: Simplify right side
   10,141.60x = 79,282,021.42
5. Step 5: Solve for x
   x = 79,282,021.42/10,141.60
6. Step 6: Final answer
   x = 7,817.51