Finding the Fourth Proportional to 1,426.61, 1,968.64 and 837.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.61 : 1,968.64 = 837.14 : x
2. Step 2: Convert to fraction form
   1,426.61/1,968.64 = 837.14/x
3. Step 3: Cross multiply
   1,426.61x = 1,968.64 × 837.14
4. Step 4: Simplify right side
   1,426.61x = 1,648,015.35
5. Step 5: Solve for x
   x = 1,648,015.35/1,426.61
6. Step 6: Final answer
   x = 1,155.19