Finding the Fourth Proportional to 2,584.02, 3,875.53 and 734.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.02 : 3,875.53 = 734.70 : x
2. Step 2: Convert to fraction form
   2,584.02/3,875.53 = 734.70/x
3. Step 3: Cross multiply
   2,584.02x = 3,875.53 × 734.70
4. Step 4: Simplify right side
   2,584.02x = 2,847,351.89
5. Step 5: Solve for x
   x = 2,847,351.89/2,584.02
6. Step 6: Final answer
   x = 1,101.91