Finding the Fourth Proportional to 1,581.49, 2,180.42 and 1,296.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.49 : 2,180.42 = 1,296.86 : x
2. Step 2: Convert to fraction form
   1,581.49/2,180.42 = 1,296.86/x
3. Step 3: Cross multiply
   1,581.49x = 2,180.42 × 1,296.86
4. Step 4: Simplify right side
   1,581.49x = 2,827,699.22
5. Step 5: Solve for x
   x = 2,827,699.22/1,581.49
6. Step 6: Final answer
   x = 1,788.00