Finding the Fourth Proportional to 6,464.76, 9,697.69 and 1,784.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464.76 : 9,697.69 = 1,784.77 : x
2. Step 2: Convert to fraction form
   6,464.76/9,697.69 = 1,784.77/x
3. Step 3: Cross multiply
   6,464.76x = 9,697.69 × 1,784.77
4. Step 4: Simplify right side
   6,464.76x = 17,308,097.69
5. Step 5: Solve for x
   x = 17,308,097.69/6,464.76
6. Step 6: Final answer
   x = 2,677.30