Finding the Fourth Proportional to 1,535.65, 2,118.59 and 872.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.65 : 2,118.59 = 872.41 : x
2. Step 2: Convert to fraction form
   1,535.65/2,118.59 = 872.41/x
3. Step 3: Cross multiply
   1,535.65x = 2,118.59 × 872.41
4. Step 4: Simplify right side
   1,535.65x = 1,848,279.10
5. Step 5: Solve for x
   x = 1,848,279.10/1,535.65
6. Step 6: Final answer
   x = 1,203.58