Finding the Fourth Proportional to 1,648.52, 2,473.18 and 782.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.52 : 2,473.18 = 782.62 : x
2. Step 2: Convert to fraction form
   1,648.52/2,473.18 = 782.62/x
3. Step 3: Cross multiply
   1,648.52x = 2,473.18 × 782.62
4. Step 4: Simplify right side
   1,648.52x = 1,935,560.13
5. Step 5: Solve for x
   x = 1,935,560.13/1,648.52
6. Step 6: Final answer
   x = 1,174.12