Finding the Fourth Proportional to 1,580.02, 2,180.37 and 871.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.02 : 2,180.37 = 871.86 : x
2. Step 2: Convert to fraction form
   1,580.02/2,180.37 = 871.86/x
3. Step 3: Cross multiply
   1,580.02x = 2,180.37 × 871.86
4. Step 4: Simplify right side
   1,580.02x = 1,900,977.39
5. Step 5: Solve for x
   x = 1,900,977.39/1,580.02
6. Step 6: Final answer
   x = 1,203.14