Finding the Fourth Proportional to 1,405.37, 1,939.46 and 807.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.37 : 1,939.46 = 807.86 : x
2. Step 2: Convert to fraction form
   1,405.37/1,939.46 = 807.86/x
3. Step 3: Cross multiply
   1,405.37x = 1,939.46 × 807.86
4. Step 4: Simplify right side
   1,405.37x = 1,566,812.96
5. Step 5: Solve for x
   x = 1,566,812.96/1,405.37
6. Step 6: Final answer
   x = 1,114.87