Finding the Fourth Proportional to 1,413.63, 1,950.90 and 854.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.63 : 1,950.90 = 854.10 : x
2. Step 2: Convert to fraction form
   1,413.63/1,950.90 = 854.10/x
3. Step 3: Cross multiply
   1,413.63x = 1,950.90 × 854.10
4. Step 4: Simplify right side
   1,413.63x = 1,666,263.69
5. Step 5: Solve for x
   x = 1,666,263.69/1,413.63
6. Step 6: Final answer
   x = 1,178.71