Finding the Fourth Proportional to 1,776.36, 2,646.69 and 1,677

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.36 : 2,646.69 = 1,677 : x
2. Step 2: Convert to fraction form
   1,776.36/2,646.69 = 1,677/x
3. Step 3: Cross multiply
   1,776.36x = 2,646.69 × 1,677
4. Step 4: Simplify right side
   1,776.36x = 4,438,499.13
5. Step 5: Solve for x
   x = 4,438,499.13/1,776.36
6. Step 6: Final answer
   x = 2,498.65