Finding the Fourth Proportional to 1,411.65, 1,946.63 and 914.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.65 : 1,946.63 = 914.51 : x
2. Step 2: Convert to fraction form
   1,411.65/1,946.63 = 914.51/x
3. Step 3: Cross multiply
   1,411.65x = 1,946.63 × 914.51
4. Step 4: Simplify right side
   1,411.65x = 1,780,219.75
5. Step 5: Solve for x
   x = 1,780,219.75/1,411.65
6. Step 6: Final answer
   x = 1,261.09