Finding the Fourth Proportional to 6,826.32, 10,259.67 and 5,663.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.32 : 10,259.67 = 5,663.86 : x
2. Step 2: Convert to fraction form
   6,826.32/10,259.67 = 5,663.86/x
3. Step 3: Cross multiply
   6,826.32x = 10,259.67 × 5,663.86
4. Step 4: Simplify right side
   6,826.32x = 58,109,334.53
5. Step 5: Solve for x
   x = 58,109,334.53/6,826.32
6. Step 6: Final answer
   x = 8,512.54