Finding the Fourth Proportional to 1,413.58, 2,116.70 and 976.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.58 : 2,116.70 = 976.18 : x
2. Step 2: Convert to fraction form
   1,413.58/2,116.70 = 976.18/x
3. Step 3: Cross multiply
   1,413.58x = 2,116.70 × 976.18
4. Step 4: Simplify right side
   1,413.58x = 2,066,280.21
5. Step 5: Solve for x
   x = 2,066,280.21/1,413.58
6. Step 6: Final answer
   x = 1,461.74