Finding the Fourth Proportional to 10,116.86, 13,961.27 and 5,640.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.86 : 13,961.27 = 5,640.51 : x
2. Step 2: Convert to fraction form
   10,116.86/13,961.27 = 5,640.51/x
3. Step 3: Cross multiply
   10,116.86x = 13,961.27 × 5,640.51
4. Step 4: Simplify right side
   10,116.86x = 78,748,654.85
5. Step 5: Solve for x
   x = 78,748,654.85/10,116.86
6. Step 6: Final answer
   x = 7,783.91