Finding the Fourth Proportional to 1,577.98, 2,178.06 and 1,265.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.98 : 2,178.06 = 1,265.42 : x
2. Step 2: Convert to fraction form
   1,577.98/2,178.06 = 1,265.42/x
3. Step 3: Cross multiply
   1,577.98x = 2,178.06 × 1,265.42
4. Step 4: Simplify right side
   1,577.98x = 2,756,160.69
5. Step 5: Solve for x
   x = 2,756,160.69/1,577.98
6. Step 6: Final answer
   x = 1,746.64