Finding the Fourth Proportional to 3,776.09, 5,663.98 and 1,002.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.09 : 5,663.98 = 1,002.77 : x
2. Step 2: Convert to fraction form
   3,776.09/5,663.98 = 1,002.77/x
3. Step 3: Cross multiply
   3,776.09x = 5,663.98 × 1,002.77
4. Step 4: Simplify right side
   3,776.09x = 5,679,669.22
5. Step 5: Solve for x
   x = 5,679,669.22/3,776.09
6. Step 6: Final answer
   x = 1,504.11