Finding the Fourth Proportional to 10,093.86, 13,929.40 and 5,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.86 : 13,929.40 = 5,617.50 : x
2. Step 2: Convert to fraction form
   10,093.86/13,929.40 = 5,617.50/x
3. Step 3: Cross multiply
   10,093.86x = 13,929.40 × 5,617.50
4. Step 4: Simplify right side
   10,093.86x = 78,248,404.50
5. Step 5: Solve for x
   x = 78,248,404.50/10,093.86
6. Step 6: Final answer
   x = 7,752.08