Finding the Fourth Proportional to 6,500.10, 9,748.92 and 2,117.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500.10 : 9,748.92 = 2,117.72 : x
2. Step 2: Convert to fraction form
   6,500.10/9,748.92 = 2,117.72/x
3. Step 3: Cross multiply
   6,500.10x = 9,748.92 × 2,117.72
4. Step 4: Simplify right side
   6,500.10x = 20,645,482.86
5. Step 5: Solve for x
   x = 20,645,482.86/6,500.10
6. Step 6: Final answer
   x = 3,176.18