Finding the Fourth Proportional to 10,111.68, 13,954.56 and 5,635.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.68 : 13,954.56 = 5,635.68 : x
2. Step 2: Convert to fraction form
   10,111.68/13,954.56 = 5,635.68/x
3. Step 3: Cross multiply
   10,111.68x = 13,954.56 × 5,635.68
4. Step 4: Simplify right side
   10,111.68x = 78,643,434.70
5. Step 5: Solve for x
   x = 78,643,434.70/10,111.68
6. Step 6: Final answer
   x = 7,777.48