Finding the Fourth Proportional to 1,511.59, 2,085.81 and 914.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.59 : 2,085.81 = 914.20 : x
2. Step 2: Convert to fraction form
   1,511.59/2,085.81 = 914.20/x
3. Step 3: Cross multiply
   1,511.59x = 2,085.81 × 914.20
4. Step 4: Simplify right side
   1,511.59x = 1,906,847.50
5. Step 5: Solve for x
   x = 1,906,847.50/1,511.59
6. Step 6: Final answer
   x = 1,261.48