Finding the Fourth Proportional to 10,141.65, 13,994.68 and 5,604.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.65 : 13,994.68 = 5,604.14 : x
2. Step 2: Convert to fraction form
   10,141.65/13,994.68 = 5,604.14/x
3. Step 3: Cross multiply
   10,141.65x = 13,994.68 × 5,604.14
4. Step 4: Simplify right side
   10,141.65x = 78,428,114.50
5. Step 5: Solve for x
   x = 78,428,114.50/10,141.65
6. Step 6: Final answer
   x = 7,733.27