Finding the Fourth Proportional to 1,583.76, 2,185.60 and 875.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.76 : 2,185.60 = 875.58 : x
2. Step 2: Convert to fraction form
   1,583.76/2,185.60 = 875.58/x
3. Step 3: Cross multiply
   1,583.76x = 2,185.60 × 875.58
4. Step 4: Simplify right side
   1,583.76x = 1,913,667.65
5. Step 5: Solve for x
   x = 1,913,667.65/1,583.76
6. Step 6: Final answer
   x = 1,208.31