Finding the Fourth Proportional to 10,111.06, 13,952.69 and 5,634.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.06 : 13,952.69 = 5,634.66 : x
2. Step 2: Convert to fraction form
   10,111.06/13,952.69 = 5,634.66/x
3. Step 3: Cross multiply
   10,111.06x = 13,952.69 × 5,634.66
4. Step 4: Simplify right side
   10,111.06x = 78,618,709.51
5. Step 5: Solve for x
   x = 78,618,709.51/10,111.06
6. Step 6: Final answer
   x = 7,775.52