Finding the Fourth Proportional to 8,475.89, 11,697.09 and 5,638.71

Step by Step Solution

1. Step 1: Write the proportion equation
   8,475.89 : 11,697.09 = 5,638.71 : x
2. Step 2: Convert to fraction form
   8,475.89/11,697.09 = 5,638.71/x
3. Step 3: Cross multiply
   8,475.89x = 11,697.09 × 5,638.71
4. Step 4: Simplify right side
   8,475.89x = 65,956,498.35
5. Step 5: Solve for x
   x = 65,956,498.35/8,475.89
6. Step 6: Final answer
   x = 7,781.67