Finding the Fourth Proportional to 1,535.67, 2,119.02 and 975.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.67 : 2,119.02 = 975.15 : x
2. Step 2: Convert to fraction form
   1,535.67/2,119.02 = 975.15/x
3. Step 3: Cross multiply
   1,535.67x = 2,119.02 × 975.15
4. Step 4: Simplify right side
   1,535.67x = 2,066,362.35
5. Step 5: Solve for x
   x = 2,066,362.35/1,535.67
6. Step 6: Final answer
   x = 1,345.58