Finding the Fourth Proportional to 1,577.98, 2,177.71 and 869.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.98 : 2,177.71 = 869.82 : x
2. Step 2: Convert to fraction form
   1,577.98/2,177.71 = 869.82/x
3. Step 3: Cross multiply
   1,577.98x = 2,177.71 × 869.82
4. Step 4: Simplify right side
   1,577.98x = 1,894,215.71
5. Step 5: Solve for x
   x = 1,894,215.71/1,577.98
6. Step 6: Final answer
   x = 1,200.41