Finding the Fourth Proportional to 1,402.94, 1,936.02 and 813.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.94 : 1,936.02 = 813.56 : x
2. Step 2: Convert to fraction form
   1,402.94/1,936.02 = 813.56/x
3. Step 3: Cross multiply
   1,402.94x = 1,936.02 × 813.56
4. Step 4: Simplify right side
   1,402.94x = 1,575,068.43
5. Step 5: Solve for x
   x = 1,575,068.43/1,402.94
6. Step 6: Final answer
   x = 1,122.69