Finding the Fourth Proportional to 10,112.64, 13,955.67 and 5,636.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.64 : 13,955.67 = 5,636.85 : x
2. Step 2: Convert to fraction form
   10,112.64/13,955.67 = 5,636.85/x
3. Step 3: Cross multiply
   10,112.64x = 13,955.67 × 5,636.85
4. Step 4: Simplify right side
   10,112.64x = 78,666,018.44
5. Step 5: Solve for x
   x = 78,666,018.44/10,112.64
6. Step 6: Final answer
   x = 7,778.98