Finding the Fourth Proportional to 1,155.83, 1,733.31 and 415.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.83 : 1,733.31 = 415.25 : x
2. Step 2: Convert to fraction form
   1,155.83/1,733.31 = 415.25/x
3. Step 3: Cross multiply
   1,155.83x = 1,733.31 × 415.25
4. Step 4: Simplify right side
   1,155.83x = 719,748.31
5. Step 5: Solve for x
   x = 719,748.31/1,155.83
6. Step 6: Final answer
   x = 622.71