Finding the Fourth Proportional to 10,111.56, 13,953.24 and 5,635.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.56 : 13,953.24 = 5,635.11 : x
2. Step 2: Convert to fraction form
   10,111.56/13,953.24 = 5,635.11/x
3. Step 3: Cross multiply
   10,111.56x = 13,953.24 × 5,635.11
4. Step 4: Simplify right side
   10,111.56x = 78,628,042.26
5. Step 5: Solve for x
   x = 78,628,042.26/10,111.56
6. Step 6: Final answer
   x = 7,776.05