Finding the Fourth Proportional to 1,402.84, 1,935.82 and 813.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.84 : 1,935.82 = 813.42 : x
2. Step 2: Convert to fraction form
   1,402.84/1,935.82 = 813.42/x
3. Step 3: Cross multiply
   1,402.84x = 1,935.82 × 813.42
4. Step 4: Simplify right side
   1,402.84x = 1,574,634.70
5. Step 5: Solve for x
   x = 1,574,634.70/1,402.84
6. Step 6: Final answer
   x = 1,122.46