Finding the Fourth Proportional to 2,656.90, 3,984.74 and 782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.90 : 3,984.74 = 782.31 : x
2. Step 2: Convert to fraction form
   2,656.90/3,984.74 = 782.31/x
3. Step 3: Cross multiply
   2,656.90x = 3,984.74 × 782.31
4. Step 4: Simplify right side
   2,656.90x = 3,117,297.90
5. Step 5: Solve for x
   x = 3,117,297.90/2,656.90
6. Step 6: Final answer
   x = 1,173.28