Finding the Fourth Proportional to 1,413.60, 2,116.71 and 976.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.60 : 2,116.71 = 976.20 : x
2. Step 2: Convert to fraction form
   1,413.60/2,116.71 = 976.20/x
3. Step 3: Cross multiply
   1,413.60x = 2,116.71 × 976.20
4. Step 4: Simplify right side
   1,413.60x = 2,066,332.30
5. Step 5: Solve for x
   x = 2,066,332.30/1,413.60
6. Step 6: Final answer
   x = 1,461.75