Finding the Fourth Proportional to 1,461.50, 2,016.96 and 840.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.50 : 2,016.96 = 840.54 : x
2. Step 2: Convert to fraction form
   1,461.50/2,016.96 = 840.54/x
3. Step 3: Cross multiply
   1,461.50x = 2,016.96 × 840.54
4. Step 4: Simplify right side
   1,461.50x = 1,695,335.56
5. Step 5: Solve for x
   x = 1,695,335.56/1,461.50
6. Step 6: Final answer
   x = 1,160.00