Finding the Fourth Proportional to 10,142.13, 13,996.38 and 5,604.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.13 : 13,996.38 = 5,604.81 : x
2. Step 2: Convert to fraction form
   10,142.13/13,996.38 = 5,604.81/x
3. Step 3: Cross multiply
   10,142.13x = 13,996.38 × 5,604.81
4. Step 4: Simplify right side
   10,142.13x = 78,447,066.32
5. Step 5: Solve for x
   x = 78,447,066.32/10,142.13
6. Step 6: Final answer
   x = 7,734.77