Finding the Fourth Proportional to 10,142.65, 13,996.06 and 5,605.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.65 : 13,996.06 = 5,605.14 : x
2. Step 2: Convert to fraction form
   10,142.65/13,996.06 = 5,605.14/x
3. Step 3: Cross multiply
   10,142.65x = 13,996.06 × 5,605.14
4. Step 4: Simplify right side
   10,142.65x = 78,449,875.75
5. Step 5: Solve for x
   x = 78,449,875.75/10,142.65
6. Step 6: Final answer
   x = 7,734.65