Finding the Fourth Proportional to 1,399.74, 1,931.40 and 840.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,399.74 : 1,931.40 = 840.12 : x
2. Step 2: Convert to fraction form
   1,399.74/1,931.40 = 840.12/x
3. Step 3: Cross multiply
   1,399.74x = 1,931.40 × 840.12
4. Step 4: Simplify right side
   1,399.74x = 1,622,607.77
5. Step 5: Solve for x
   x = 1,622,607.77/1,399.74
6. Step 6: Final answer
   x = 1,159.22