Finding the Fourth Proportional to 10,111.44, 13,953.63 and 5,635.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.44 : 13,953.63 = 5,635.17 : x
2. Step 2: Convert to fraction form
   10,111.44/13,953.63 = 5,635.17/x
3. Step 3: Cross multiply
   10,111.44x = 13,953.63 × 5,635.17
4. Step 4: Simplify right side
   10,111.44x = 78,631,077.17
5. Step 5: Solve for x
   x = 78,631,077.17/10,111.44
6. Step 6: Final answer
   x = 7,776.45