Finding the Fourth Proportional to 2,014.32, 3,019.62 and 782.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.32 : 3,019.62 = 782.54 : x
2. Step 2: Convert to fraction form
   2,014.32/3,019.62 = 782.54/x
3. Step 3: Cross multiply
   2,014.32x = 3,019.62 × 782.54
4. Step 4: Simplify right side
   2,014.32x = 2,362,973.43
5. Step 5: Solve for x
   x = 2,362,973.43/2,014.32
6. Step 6: Final answer
   x = 1,173.09