Finding the Fourth Proportional to 1,030.34, 1,545.78 and 413.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.34 : 1,545.78 = 413.93 : x
2. Step 2: Convert to fraction form
   1,030.34/1,545.78 = 413.93/x
3. Step 3: Cross multiply
   1,030.34x = 1,545.78 × 413.93
4. Step 4: Simplify right side
   1,030.34x = 639,844.72
5. Step 5: Solve for x
   x = 639,844.72/1,030.34
6. Step 6: Final answer
   x = 621.00