Finding the Fourth Proportional to 1,429.43, 1,973.10 and 840.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.43 : 1,973.10 = 840.14 : x
2. Step 2: Convert to fraction form
   1,429.43/1,973.10 = 840.14/x
3. Step 3: Cross multiply
   1,429.43x = 1,973.10 × 840.14
4. Step 4: Simplify right side
   1,429.43x = 1,657,680.23
5. Step 5: Solve for x
   x = 1,657,680.23/1,429.43
6. Step 6: Final answer
   x = 1,159.68