Finding the Fourth Proportional to 1,030.06, 1,543.98 and 413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.06 : 1,543.98 = 413.50 : x
2. Step 2: Convert to fraction form
   1,030.06/1,543.98 = 413.50/x
3. Step 3: Cross multiply
   1,030.06x = 1,543.98 × 413.50
4. Step 4: Simplify right side
   1,030.06x = 638,435.73
5. Step 5: Solve for x
   x = 638,435.73/1,030.06
6. Step 6: Final answer
   x = 619.80