Finding the Fourth Proportional to 1,429.56, 1,972.98 and 840.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.56 : 1,972.98 = 840.11 : x
2. Step 2: Convert to fraction form
   1,429.56/1,972.98 = 840.11/x
3. Step 3: Cross multiply
   1,429.56x = 1,972.98 × 840.11
4. Step 4: Simplify right side
   1,429.56x = 1,657,510.36
5. Step 5: Solve for x
   x = 1,657,510.36/1,429.56
6. Step 6: Final answer
   x = 1,159.45