Finding the Fourth Proportional to 1,535.61, 2,118.96 and 906.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.61 : 2,118.96 = 906.33 : x
2. Step 2: Convert to fraction form
   1,535.61/2,118.96 = 906.33/x
3. Step 3: Cross multiply
   1,535.61x = 2,118.96 × 906.33
4. Step 4: Simplify right side
   1,535.61x = 1,920,477.02
5. Step 5: Solve for x
   x = 1,920,477.02/1,535.61
6. Step 6: Final answer
   x = 1,250.63