Finding the Fourth Proportional to 2,097.74, 3,146.69 and 781.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.74 : 3,146.69 = 781.82 : x
2. Step 2: Convert to fraction form
   2,097.74/3,146.69 = 781.82/x
3. Step 3: Cross multiply
   2,097.74x = 3,146.69 × 781.82
4. Step 4: Simplify right side
   2,097.74x = 2,460,145.18
5. Step 5: Solve for x
   x = 2,460,145.18/2,097.74
6. Step 6: Final answer
   x = 1,172.76