Finding the Fourth Proportional to 10,111.81, 13,954.10 and 5,635.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.81 : 13,954.10 = 5,635.46 : x
2. Step 2: Convert to fraction form
   10,111.81/13,954.10 = 5,635.46/x
3. Step 3: Cross multiply
   10,111.81x = 13,954.10 × 5,635.46
4. Step 4: Simplify right side
   10,111.81x = 78,637,772.39
5. Step 5: Solve for x
   x = 78,637,772.39/10,111.81
6. Step 6: Final answer
   x = 7,776.82