Finding the Fourth Proportional to 1,402.47, 1,935.27 and 813.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.47 : 1,935.27 = 813.20 : x
2. Step 2: Convert to fraction form
   1,402.47/1,935.27 = 813.20/x
3. Step 3: Cross multiply
   1,402.47x = 1,935.27 × 813.20
4. Step 4: Simplify right side
   1,402.47x = 1,573,751.89
5. Step 5: Solve for x
   x = 1,573,751.89/1,402.47
6. Step 6: Final answer
   x = 1,122.13