Finding the Fourth Proportional to 1,577.84, 2,176.98 and 914.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,577.84 : 2,176.98 = 914.56 : x
2. Step 2: Convert to fraction form
   1,577.84/2,176.98 = 914.56/x
3. Step 3: Cross multiply
   1,577.84x = 2,176.98 × 914.56
4. Step 4: Simplify right side
   1,577.84x = 1,990,978.83
5. Step 5: Solve for x
   x = 1,990,978.83/1,577.84
6. Step 6: Final answer
   x = 1,261.84