Finding the Fourth Proportional to 1,337.85, 1,845.18 and 813.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.85 : 1,845.18 = 813.78 : x
2. Step 2: Convert to fraction form
   1,337.85/1,845.18 = 813.78/x
3. Step 3: Cross multiply
   1,337.85x = 1,845.18 × 813.78
4. Step 4: Simplify right side
   1,337.85x = 1,501,570.58
5. Step 5: Solve for x
   x = 1,501,570.58/1,337.85
6. Step 6: Final answer
   x = 1,122.38