Finding the Fourth Proportional to 1,337.56, 1,846.38 and 865.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.56 : 1,846.38 = 865.60 : x
2. Step 2: Convert to fraction form
   1,337.56/1,846.38 = 865.60/x
3. Step 3: Cross multiply
   1,337.56x = 1,846.38 × 865.60
4. Step 4: Simplify right side
   1,337.56x = 1,598,226.53
5. Step 5: Solve for x
   x = 1,598,226.53/1,337.56
6. Step 6: Final answer
   x = 1,194.88