Finding the Fourth Proportional to 1,019.93, 1,406.79 and 864.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.93 : 1,406.79 = 864.02 : x
2. Step 2: Convert to fraction form
   1,019.93/1,406.79 = 864.02/x
3. Step 3: Cross multiply
   1,019.93x = 1,406.79 × 864.02
4. Step 4: Simplify right side
   1,019.93x = 1,215,494.70
5. Step 5: Solve for x
   x = 1,215,494.70/1,019.93
6. Step 6: Final answer
   x = 1,191.74