Finding the Fourth Proportional to 1,461.52, 2,016.88 and 840.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.52 : 2,016.88 = 840.52 : x
2. Step 2: Convert to fraction form
   1,461.52/2,016.88 = 840.52/x
3. Step 3: Cross multiply
   1,461.52x = 2,016.88 × 840.52
4. Step 4: Simplify right side
   1,461.52x = 1,695,227.98
5. Step 5: Solve for x
   x = 1,695,227.98/1,461.52
6. Step 6: Final answer
   x = 1,159.91