Finding the Fourth Proportional to 1,429.02, 1,972.24 and 840.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.02 : 1,972.24 = 840.06 : x
2. Step 2: Convert to fraction form
   1,429.02/1,972.24 = 840.06/x
3. Step 3: Cross multiply
   1,429.02x = 1,972.24 × 840.06
4. Step 4: Simplify right side
   1,429.02x = 1,656,799.93
5. Step 5: Solve for x
   x = 1,656,799.93/1,429.02
6. Step 6: Final answer
   x = 1,159.40