Finding the Fourth Proportional to 1,429.59, 1,972.88 and 840.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.59 : 1,972.88 = 840.01 : x
2. Step 2: Convert to fraction form
   1,429.59/1,972.88 = 840.01/x
3. Step 3: Cross multiply
   1,429.59x = 1,972.88 × 840.01
4. Step 4: Simplify right side
   1,429.59x = 1,657,238.93
5. Step 5: Solve for x
   x = 1,657,238.93/1,429.59
6. Step 6: Final answer
   x = 1,159.24