Finding the Fourth Proportional to 10,111.31, 13,953.41 and 5,634.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.31 : 13,953.41 = 5,634.96 : x
2. Step 2: Convert to fraction form
   10,111.31/13,953.41 = 5,634.96/x
3. Step 3: Cross multiply
   10,111.31x = 13,953.41 × 5,634.96
4. Step 4: Simplify right side
   10,111.31x = 78,626,879.04
5. Step 5: Solve for x
   x = 78,626,879.04/10,111.31
6. Step 6: Final answer
   x = 7,776.14