Finding the Fourth Proportional to 1,066.14, 1,589.91 and 948.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.14 : 1,589.91 = 948.15 : x
2. Step 2: Convert to fraction form
   1,066.14/1,589.91 = 948.15/x
3. Step 3: Cross multiply
   1,066.14x = 1,589.91 × 948.15
4. Step 4: Simplify right side
   1,066.14x = 1,507,473.17
5. Step 5: Solve for x
   x = 1,507,473.17/1,066.14
6. Step 6: Final answer
   x = 1,413.95