Finding the Fourth Proportional to 2,566.32, 3,541.86 and 1,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.32 : 3,541.86 = 1,447.50 : x
2. Step 2: Convert to fraction form
   2,566.32/3,541.86 = 1,447.50/x
3. Step 3: Cross multiply
   2,566.32x = 3,541.86 × 1,447.50
4. Step 4: Simplify right side
   2,566.32x = 5,126,842.35
5. Step 5: Solve for x
   x = 5,126,842.35/2,566.32
6. Step 6: Final answer
   x = 1,997.74