Finding the Fourth Proportional to 1,429.41, 1,972.58 and 840.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.41 : 1,972.58 = 840.29 : x
2. Step 2: Convert to fraction form
   1,429.41/1,972.58 = 840.29/x
3. Step 3: Cross multiply
   1,429.41x = 1,972.58 × 840.29
4. Step 4: Simplify right side
   1,429.41x = 1,657,531.49
5. Step 5: Solve for x
   x = 1,657,531.49/1,429.41
6. Step 6: Final answer
   x = 1,159.59