Finding the Fourth Proportional to 1,419.67, 1,958.80 and 914.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.67 : 1,958.80 = 914.61 : x
2. Step 2: Convert to fraction form
   1,419.67/1,958.80 = 914.61/x
3. Step 3: Cross multiply
   1,419.67x = 1,958.80 × 914.61
4. Step 4: Simplify right side
   1,419.67x = 1,791,538.07
5. Step 5: Solve for x
   x = 1,791,538.07/1,419.67
6. Step 6: Final answer
   x = 1,261.94