Finding the Fourth Proportional to 2,099.73, 3,147.54 and 782.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.73 : 3,147.54 = 782.51 : x
2. Step 2: Convert to fraction form
   2,099.73/3,147.54 = 782.51/x
3. Step 3: Cross multiply
   2,099.73x = 3,147.54 × 782.51
4. Step 4: Simplify right side
   2,099.73x = 2,462,977.61
5. Step 5: Solve for x
   x = 2,462,977.61/2,099.73
6. Step 6: Final answer
   x = 1,173.00