Finding the Fourth Proportional to 1,535.78, 2,118.60 and 975.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.78 : 2,118.60 = 975.33 : x
2. Step 2: Convert to fraction form
   1,535.78/2,118.60 = 975.33/x
3. Step 3: Cross multiply
   1,535.78x = 2,118.60 × 975.33
4. Step 4: Simplify right side
   1,535.78x = 2,066,334.14
5. Step 5: Solve for x
   x = 2,066,334.14/1,535.78
6. Step 6: Final answer
   x = 1,345.47