Finding the Fourth Proportional to 10,112.31, 13,954.78 and 5,635.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.31 : 13,954.78 = 5,635.96 : x
2. Step 2: Convert to fraction form
   10,112.31/13,954.78 = 5,635.96/x
3. Step 3: Cross multiply
   10,112.31x = 13,954.78 × 5,635.96
4. Step 4: Simplify right side
   10,112.31x = 78,648,581.89
5. Step 5: Solve for x
   x = 78,648,581.89/10,112.31
6. Step 6: Final answer
   x = 7,777.51