Finding the Fourth Proportional to 1,235.72, 1,854.41 and 586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,235.72 : 1,854.41 = 586.50 : x
2. Step 2: Convert to fraction form
   1,235.72/1,854.41 = 586.50/x
3. Step 3: Cross multiply
   1,235.72x = 1,854.41 × 586.50
4. Step 4: Simplify right side
   1,235.72x = 1,087,611.47
5. Step 5: Solve for x
   x = 1,087,611.47/1,235.72
6. Step 6: Final answer
   x = 880.14