Finding the Fourth Proportional to 1,581.64, 2,182.61 and 992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.64 : 2,182.61 = 992.50 : x
2. Step 2: Convert to fraction form
   1,581.64/2,182.61 = 992.50/x
3. Step 3: Cross multiply
   1,581.64x = 2,182.61 × 992.50
4. Step 4: Simplify right side
   1,581.64x = 2,166,237.45
5. Step 5: Solve for x
   x = 2,166,237.45/1,581.64
6. Step 6: Final answer
   x = 1,369.62