Finding the Fourth Proportional to 1,411.86, 1,947.14 and 914.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.86 : 1,947.14 = 914.02 : x
2. Step 2: Convert to fraction form
   1,411.86/1,947.14 = 914.02/x
3. Step 3: Cross multiply
   1,411.86x = 1,947.14 × 914.02
4. Step 4: Simplify right side
   1,411.86x = 1,779,718.89
5. Step 5: Solve for x
   x = 1,779,718.89/1,411.86
6. Step 6: Final answer
   x = 1,260.55