Finding the Fourth Proportional to 1,535.96, 2,119.72 and 906.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.96 : 2,119.72 = 906.86 : x
2. Step 2: Convert to fraction form
   1,535.96/2,119.72 = 906.86/x
3. Step 3: Cross multiply
   1,535.96x = 2,119.72 × 906.86
4. Step 4: Simplify right side
   1,535.96x = 1,922,289.28
5. Step 5: Solve for x
   x = 1,922,289.28/1,535.96
6. Step 6: Final answer
   x = 1,251.52