Finding the Fourth Proportional to 1,461.52, 2,017.12 and 840.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.52 : 2,017.12 = 840.48 : x
2. Step 2: Convert to fraction form
   1,461.52/2,017.12 = 840.48/x
3. Step 3: Cross multiply
   1,461.52x = 2,017.12 × 840.48
4. Step 4: Simplify right side
   1,461.52x = 1,695,349.02
5. Step 5: Solve for x
   x = 1,695,349.02/1,461.52
6. Step 6: Final answer
   x = 1,159.99