Finding the Fourth Proportional to 1,577.77, 2,177.39 and 914.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.77 : 2,177.39 = 914.83 : x
2. Step 2: Convert to fraction form
   1,577.77/2,177.39 = 914.83/x
3. Step 3: Cross multiply
   1,577.77x = 2,177.39 × 914.83
4. Step 4: Simplify right side
   1,577.77x = 1,991,938.54
5. Step 5: Solve for x
   x = 1,991,938.54/1,577.77
6. Step 6: Final answer
   x = 1,262.50