Finding the Fourth Proportional to 1,776.95, 2,665.12 and 802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.95 : 2,665.12 = 802.82 : x
2. Step 2: Convert to fraction form
   1,776.95/2,665.12 = 802.82/x
3. Step 3: Cross multiply
   1,776.95x = 2,665.12 × 802.82
4. Step 4: Simplify right side
   1,776.95x = 2,139,616.29
5. Step 5: Solve for x
   x = 2,139,616.29/1,776.95
6. Step 6: Final answer
   x = 1,204.09