Finding the Fourth Proportional to 2,138.20, 2,950.78 and 1,783.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.20 : 2,950.78 = 1,783.52 : x
2. Step 2: Convert to fraction form
   2,138.20/2,950.78 = 1,783.52/x
3. Step 3: Cross multiply
   2,138.20x = 2,950.78 × 1,783.52
4. Step 4: Simplify right side
   2,138.20x = 5,262,770.34
5. Step 5: Solve for x
   x = 5,262,770.34/2,138.20
6. Step 6: Final answer
   x = 2,461.31