Finding the Fourth Proportional to 1,648.32, 2,472.78 and 782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.32 : 2,472.78 = 782.63 : x
2. Step 2: Convert to fraction form
   1,648.32/2,472.78 = 782.63/x
3. Step 3: Cross multiply
   1,648.32x = 2,472.78 × 782.63
4. Step 4: Simplify right side
   1,648.32x = 1,935,259.45
5. Step 5: Solve for x
   x = 1,935,259.45/1,648.32
6. Step 6: Final answer
   x = 1,174.08