Finding the Fourth Proportional to 1,901.34, 2,851.27 and 584.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.34 : 2,851.27 = 584.69 : x
2. Step 2: Convert to fraction form
   1,901.34/2,851.27 = 584.69/x
3. Step 3: Cross multiply
   1,901.34x = 2,851.27 × 584.69
4. Step 4: Simplify right side
   1,901.34x = 1,667,093.34
5. Step 5: Solve for x
   x = 1,667,093.34/1,901.34
6. Step 6: Final answer
   x = 876.80