Finding the Fourth Proportional to 2,014.47, 3,021.05 and 782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.47 : 3,021.05 = 782.31 : x
2. Step 2: Convert to fraction form
   2,014.47/3,021.05 = 782.31/x
3. Step 3: Cross multiply
   2,014.47x = 3,021.05 × 782.31
4. Step 4: Simplify right side
   2,014.47x = 2,363,389.52
5. Step 5: Solve for x
   x = 2,363,389.52/2,014.47
6. Step 6: Final answer
   x = 1,173.21