Finding the Fourth Proportional to 1,287.33, 1,777.29 and 846

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.33 : 1,777.29 = 846 : x
2. Step 2: Convert to fraction form
   1,287.33/1,777.29 = 846/x
3. Step 3: Cross multiply
   1,287.33x = 1,777.29 × 846
4. Step 4: Simplify right side
   1,287.33x = 1,503,587.34
5. Step 5: Solve for x
   x = 1,503,587.34/1,287.33
6. Step 6: Final answer
   x = 1,167.99