Finding the Fourth Proportional to 1,506.24, 2,258.14 and 1,384.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.24 : 2,258.14 = 1,384.74 : x
2. Step 2: Convert to fraction form
   1,506.24/2,258.14 = 1,384.74/x
3. Step 3: Cross multiply
   1,506.24x = 2,258.14 × 1,384.74
4. Step 4: Simplify right side
   1,506.24x = 3,126,936.78
5. Step 5: Solve for x
   x = 3,126,936.78/1,506.24
6. Step 6: Final answer
   x = 2,075.99