Finding the Fourth Proportional to 6,457.61, 9,686.52 and 1,777.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457.61 : 9,686.52 = 1,777.59 : x
2. Step 2: Convert to fraction form
   6,457.61/9,686.52 = 1,777.59/x
3. Step 3: Cross multiply
   6,457.61x = 9,686.52 × 1,777.59
4. Step 4: Simplify right side
   6,457.61x = 17,218,661.09
5. Step 5: Solve for x
   x = 17,218,661.09/6,457.61
6. Step 6: Final answer
   x = 2,666.42