Finding the Fourth Proportional to 1,535.52, 2,119.50 and 906.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.52 : 2,119.50 = 906.02 : x
2. Step 2: Convert to fraction form
   1,535.52/2,119.50 = 906.02/x
3. Step 3: Cross multiply
   1,535.52x = 2,119.50 × 906.02
4. Step 4: Simplify right side
   1,535.52x = 1,920,309.39
5. Step 5: Solve for x
   x = 1,920,309.39/1,535.52
6. Step 6: Final answer
   x = 1,250.59