Finding the Fourth Proportional to 1,407.60, 1,942.58 and 810.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.60 : 1,942.58 = 810.29 : x
2. Step 2: Convert to fraction form
   1,407.60/1,942.58 = 810.29/x
3. Step 3: Cross multiply
   1,407.60x = 1,942.58 × 810.29
4. Step 4: Simplify right side
   1,407.60x = 1,574,053.15
5. Step 5: Solve for x
   x = 1,574,053.15/1,407.60
6. Step 6: Final answer
   x = 1,118.25