Finding the Fourth Proportional to 1,784.28, 2,461.86 and 1,085.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.28 : 2,461.86 = 1,085.56 : x
2. Step 2: Convert to fraction form
   1,784.28/2,461.86 = 1,085.56/x
3. Step 3: Cross multiply
   1,784.28x = 2,461.86 × 1,085.56
4. Step 4: Simplify right side
   1,784.28x = 2,672,496.74
5. Step 5: Solve for x
   x = 2,672,496.74/1,784.28
6. Step 6: Final answer
   x = 1,497.80