Finding the Fourth Proportional to 1,977.84, 2,729.69 and 1,138.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,977.84 : 2,729.69 = 1,138.52 : x
2. Step 2: Convert to fraction form
   1,977.84/2,729.69 = 1,138.52/x
3. Step 3: Cross multiply
   1,977.84x = 2,729.69 × 1,138.52
4. Step 4: Simplify right side
   1,977.84x = 3,107,787.32
5. Step 5: Solve for x
   x = 3,107,787.32/1,977.84
6. Step 6: Final answer
   x = 1,571.30