Finding the Fourth Proportional to 1,338.86, 1,847.41 and 807.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,338.86 : 1,847.41 = 807.64 : x
2. Step 2: Convert to fraction form
   1,338.86/1,847.41 = 807.64/x
3. Step 3: Cross multiply
   1,338.86x = 1,847.41 × 807.64
4. Step 4: Simplify right side
   1,338.86x = 1,492,035.57
5. Step 5: Solve for x
   x = 1,492,035.57/1,338.86
6. Step 6: Final answer
   x = 1,114.41