Finding the Fourth Proportional to 10,110.86, 13,951.73 and 5,634.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,110.86 : 13,951.73 = 5,634.29 : x
2. Step 2: Convert to fraction form
   10,110.86/13,951.73 = 5,634.29/x
3. Step 3: Cross multiply
   10,110.86x = 13,951.73 × 5,634.29
4. Step 4: Simplify right side
   10,110.86x = 78,607,994.89
5. Step 5: Solve for x
   x = 78,607,994.89/10,110.86
6. Step 6: Final answer
   x = 7,774.61