Finding the Fourth Proportional to 1,536.12, 2,119.86 and 946.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.12 : 2,119.86 = 946.52 : x
2. Step 2: Convert to fraction form
   1,536.12/2,119.86 = 946.52/x
3. Step 3: Cross multiply
   1,536.12x = 2,119.86 × 946.52
4. Step 4: Simplify right side
   1,536.12x = 2,006,489.89
5. Step 5: Solve for x
   x = 2,006,489.89/1,536.12
6. Step 6: Final answer
   x = 1,306.21