Finding the Fourth Proportional to 1,429.93, 1,973.34 and 840.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.93 : 1,973.34 = 840.46 : x
2. Step 2: Convert to fraction form
   1,429.93/1,973.34 = 840.46/x
3. Step 3: Cross multiply
   1,429.93x = 1,973.34 × 840.46
4. Step 4: Simplify right side
   1,429.93x = 1,658,513.34
5. Step 5: Solve for x
   x = 1,658,513.34/1,429.93
6. Step 6: Final answer
   x = 1,159.86