Finding the Fourth Proportional to 6,499.50, 9,748.80 and 2,116.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.50 : 9,748.80 = 2,116.86 : x
2. Step 2: Convert to fraction form
   6,499.50/9,748.80 = 2,116.86/x
3. Step 3: Cross multiply
   6,499.50x = 9,748.80 × 2,116.86
4. Step 4: Simplify right side
   6,499.50x = 20,636,844.77
5. Step 5: Solve for x
   x = 20,636,844.77/6,499.50
6. Step 6: Final answer
   x = 3,175.14