Finding the Fourth Proportional to 1,429.68, 1,973.35 and 840.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.68 : 1,973.35 = 840.41 : x
2. Step 2: Convert to fraction form
   1,429.68/1,973.35 = 840.41/x
3. Step 3: Cross multiply
   1,429.68x = 1,973.35 × 840.41
4. Step 4: Simplify right side
   1,429.68x = 1,658,409.00
5. Step 5: Solve for x
   x = 1,658,409.00/1,429.68
6. Step 6: Final answer
   x = 1,159.99