Finding the Fourth Proportional to 1,776.63, 2,656.71 and 1,582.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.63 : 2,656.71 = 1,582.77 : x
2. Step 2: Convert to fraction form
   1,776.63/2,656.71 = 1,582.77/x
3. Step 3: Cross multiply
   1,776.63x = 2,656.71 × 1,582.77
4. Step 4: Simplify right side
   1,776.63x = 4,204,960.89
5. Step 5: Solve for x
   x = 4,204,960.89/1,776.63
6. Step 6: Final answer
   x = 2,366.82