Finding the Fourth Proportional to 2,097.51, 3,147.50 and 782.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.51 : 3,147.50 = 782.20 : x
2. Step 2: Convert to fraction form
   2,097.51/3,147.50 = 782.20/x
3. Step 3: Cross multiply
   2,097.51x = 3,147.50 × 782.20
4. Step 4: Simplify right side
   2,097.51x = 2,461,974.50
5. Step 5: Solve for x
   x = 2,461,974.50/2,097.51
6. Step 6: Final answer
   x = 1,173.76