Finding the Fourth Proportional to 1,535.43, 2,117.75 and 975.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.43 : 2,117.75 = 975.42 : x
2. Step 2: Convert to fraction form
   1,535.43/2,117.75 = 975.42/x
3. Step 3: Cross multiply
   1,535.43x = 2,117.75 × 975.42
4. Step 4: Simplify right side
   1,535.43x = 2,065,690.83
5. Step 5: Solve for x
   x = 2,065,690.83/1,535.43
6. Step 6: Final answer
   x = 1,345.35