Finding the Fourth Proportional to 1,577.88, 2,177.52 and 914.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.88 : 2,177.52 = 914.94 : x
2. Step 2: Convert to fraction form
   1,577.88/2,177.52 = 914.94/x
3. Step 3: Cross multiply
   1,577.88x = 2,177.52 × 914.94
4. Step 4: Simplify right side
   1,577.88x = 1,992,300.15
5. Step 5: Solve for x
   x = 1,992,300.15/1,577.88
6. Step 6: Final answer
   x = 1,262.64