Finding the Fourth Proportional to 1,429.04, 1,972.24 and 840.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.04 : 1,972.24 = 840.08 : x
2. Step 2: Convert to fraction form
   1,429.04/1,972.24 = 840.08/x
3. Step 3: Cross multiply
   1,429.04x = 1,972.24 × 840.08
4. Step 4: Simplify right side
   1,429.04x = 1,656,839.38
5. Step 5: Solve for x
   x = 1,656,839.38/1,429.04
6. Step 6: Final answer
   x = 1,159.41