Finding the Fourth Proportional to 1,152.83, 1,729.35 and 412.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.83 : 1,729.35 = 412.61 : x
2. Step 2: Convert to fraction form
   1,152.83/1,729.35 = 412.61/x
3. Step 3: Cross multiply
   1,152.83x = 1,729.35 × 412.61
4. Step 4: Simplify right side
   1,152.83x = 713,538.46
5. Step 5: Solve for x
   x = 713,538.46/1,152.83
6. Step 6: Final answer
   x = 618.94