Finding the Fourth Proportional to 10,111.91, 13,954.91 and 5,635.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.91 : 13,954.91 = 5,635.69 : x
2. Step 2: Convert to fraction form
   10,111.91/13,954.91 = 5,635.69/x
3. Step 3: Cross multiply
   10,111.91x = 13,954.91 × 5,635.69
4. Step 4: Simplify right side
   10,111.91x = 78,645,527.96
5. Step 5: Solve for x
   x = 78,645,527.96/10,111.91
6. Step 6: Final answer
   x = 7,777.52