Finding the Fourth Proportional to 1,456.10, 2,185.20 and 1,091.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,185.20 = 1,091.87 : x
2. Step 2: Convert to fraction form
   1,456.10/2,185.20 = 1,091.87/x
3. Step 3: Cross multiply
   1,456.10x = 2,185.20 × 1,091.87
4. Step 4: Simplify right side
   1,456.10x = 2,385,943.40
5. Step 5: Solve for x
   x = 2,385,943.40/1,456.10
6. Step 6: Final answer
   x = 1,638.59