Finding the Fourth Proportional to 2,129.82, 3,190.89 and 1,782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,129.82 : 3,190.89 = 1,782.78 : x
2. Step 2: Convert to fraction form
   2,129.82/3,190.89 = 1,782.78/x
3. Step 3: Cross multiply
   2,129.82x = 3,190.89 × 1,782.78
4. Step 4: Simplify right side
   2,129.82x = 5,688,654.87
5. Step 5: Solve for x
   x = 5,688,654.87/2,129.82
6. Step 6: Final answer
   x = 2,670.96