Finding the Fourth Proportional to 1,477.37, 2,213.64 and 861.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.37 : 2,213.64 = 861.59 : x
2. Step 2: Convert to fraction form
   1,477.37/2,213.64 = 861.59/x
3. Step 3: Cross multiply
   1,477.37x = 2,213.64 × 861.59
4. Step 4: Simplify right side
   1,477.37x = 1,907,255.62
5. Step 5: Solve for x
   x = 1,907,255.62/1,477.37
6. Step 6: Final answer
   x = 1,290.98