Finding the Fourth Proportional to 1,535.17, 2,118.76 and 863.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.17 : 2,118.76 = 863.05 : x
2. Step 2: Convert to fraction form
   1,535.17/2,118.76 = 863.05/x
3. Step 3: Cross multiply
   1,535.17x = 2,118.76 × 863.05
4. Step 4: Simplify right side
   1,535.17x = 1,828,595.82
5. Step 5: Solve for x
   x = 1,828,595.82/1,535.17
6. Step 6: Final answer
   x = 1,191.14