Finding the Fourth Proportional to 1,581.76, 2,181.12 and 1,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.76 : 2,181.12 = 1,109.50 : x
2. Step 2: Convert to fraction form
   1,581.76/2,181.12 = 1,109.50/x
3. Step 3: Cross multiply
   1,581.76x = 2,181.12 × 1,109.50
4. Step 4: Simplify right side
   1,581.76x = 2,419,941.73
5. Step 5: Solve for x
   x = 2,419,941.73/1,581.76
6. Step 6: Final answer
   x = 1,529.91