Finding the Fourth Proportional to 1,402.82, 1,935.89 and 813.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.82 : 1,935.89 = 813.70 : x
2. Step 2: Convert to fraction form
   1,402.82/1,935.89 = 813.70/x
3. Step 3: Cross multiply
   1,402.82x = 1,935.89 × 813.70
4. Step 4: Simplify right side
   1,402.82x = 1,575,233.69
5. Step 5: Solve for x
   x = 1,575,233.69/1,402.82
6. Step 6: Final answer
   x = 1,122.91