Finding the Fourth Proportional to 1,413.06, 1,951.29 and 916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.06 : 1,951.29 = 916.50 : x
2. Step 2: Convert to fraction form
   1,413.06/1,951.29 = 916.50/x
3. Step 3: Cross multiply
   1,413.06x = 1,951.29 × 916.50
4. Step 4: Simplify right side
   1,413.06x = 1,788,357.29
5. Step 5: Solve for x
   x = 1,788,357.29/1,413.06
6. Step 6: Final answer
   x = 1,265.59