Finding the Fourth Proportional to 10,111.19, 13,953.84 and 5,634.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.19 : 13,953.84 = 5,634.90 : x
2. Step 2: Convert to fraction form
   10,111.19/13,953.84 = 5,634.90/x
3. Step 3: Cross multiply
   10,111.19x = 13,953.84 × 5,634.90
4. Step 4: Simplify right side
   10,111.19x = 78,628,514.15
5. Step 5: Solve for x
   x = 78,628,514.15/10,111.19
6. Step 6: Final answer
   x = 7,776.39