Finding the Fourth Proportional to 3,720.50, 5,581.56 and 1,412

Step by Step Solution

1. Step 1: Write the proportion equation
   3,720.50 : 5,581.56 = 1,412 : x
2. Step 2: Convert to fraction form
   3,720.50/5,581.56 = 1,412/x
3. Step 3: Cross multiply
   3,720.50x = 5,581.56 × 1,412
4. Step 4: Simplify right side
   3,720.50x = 7,881,162.72
5. Step 5: Solve for x
   x = 7,881,162.72/3,720.50
6. Step 6: Final answer
   x = 2,118.31