Finding the Fourth Proportional to 2,099.93, 3,147.84 and 782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.93 : 3,147.84 = 782.72 : x
2. Step 2: Convert to fraction form
   2,099.93/3,147.84 = 782.72/x
3. Step 3: Cross multiply
   2,099.93x = 3,147.84 × 782.72
4. Step 4: Simplify right side
   2,099.93x = 2,463,861.59
5. Step 5: Solve for x
   x = 2,463,861.59/2,099.93
6. Step 6: Final answer
   x = 1,173.31