Finding the Fourth Proportional to 10,112.81, 13,955.48 and 5,636.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.81 : 13,955.48 = 5,636.46 : x
2. Step 2: Convert to fraction form
   10,112.81/13,955.48 = 5,636.46/x
3. Step 3: Cross multiply
   10,112.81x = 13,955.48 × 5,636.46
4. Step 4: Simplify right side
   10,112.81x = 78,659,476.62
5. Step 5: Solve for x
   x = 78,659,476.62/10,112.81
6. Step 6: Final answer
   x = 7,778.21