Finding the Fourth Proportional to 1,429.52, 1,973.09 and 840.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.52 : 1,973.09 = 840.24 : x
2. Step 2: Convert to fraction form
   1,429.52/1,973.09 = 840.24/x
3. Step 3: Cross multiply
   1,429.52x = 1,973.09 × 840.24
4. Step 4: Simplify right side
   1,429.52x = 1,657,871.24
5. Step 5: Solve for x
   x = 1,657,871.24/1,429.52
6. Step 6: Final answer
   x = 1,159.74