Finding the Fourth Proportional to 2,426.01, 3,638.66 and 782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,426.01 : 3,638.66 = 782.34 : x
2. Step 2: Convert to fraction form
   2,426.01/3,638.66 = 782.34/x
3. Step 3: Cross multiply
   2,426.01x = 3,638.66 × 782.34
4. Step 4: Simplify right side
   2,426.01x = 2,846,665.35
5. Step 5: Solve for x
   x = 2,846,665.35/2,426.01
6. Step 6: Final answer
   x = 1,173.39