Finding the Fourth Proportional to 2,002.71, 3,005.18 and 832.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.71 : 3,005.18 = 832.47 : x
2. Step 2: Convert to fraction form
   2,002.71/3,005.18 = 832.47/x
3. Step 3: Cross multiply
   2,002.71x = 3,005.18 × 832.47
4. Step 4: Simplify right side
   2,002.71x = 2,501,722.19
5. Step 5: Solve for x
   x = 2,501,722.19/2,002.71
6. Step 6: Final answer
   x = 1,249.17