Finding the Fourth Proportional to 1,584.50, 2,377.78 and 707.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.50 : 2,377.78 = 707.23 : x
2. Step 2: Convert to fraction form
   1,584.50/2,377.78 = 707.23/x
3. Step 3: Cross multiply
   1,584.50x = 2,377.78 × 707.23
4. Step 4: Simplify right side
   1,584.50x = 1,681,638.55
5. Step 5: Solve for x
   x = 1,681,638.55/1,584.50
6. Step 6: Final answer
   x = 1,061.31