Finding the Fourth Proportional to 2,047.56, 2,824.74 and 1,384.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.56 : 2,824.74 = 1,384.80 : x
2. Step 2: Convert to fraction form
   2,047.56/2,824.74 = 1,384.80/x
3. Step 3: Cross multiply
   2,047.56x = 2,824.74 × 1,384.80
4. Step 4: Simplify right side
   2,047.56x = 3,911,699.95
5. Step 5: Solve for x
   x = 3,911,699.95/2,047.56
6. Step 6: Final answer
   x = 1,910.42