Finding the Fourth Proportional to 1,397.13, 1,928.16 and 807.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.13 : 1,928.16 = 807.86 : x
2. Step 2: Convert to fraction form
   1,397.13/1,928.16 = 807.86/x
3. Step 3: Cross multiply
   1,397.13x = 1,928.16 × 807.86
4. Step 4: Simplify right side
   1,397.13x = 1,557,683.34
5. Step 5: Solve for x
   x = 1,557,683.34/1,397.13
6. Step 6: Final answer
   x = 1,114.92