Finding the Fourth Proportional to 1,534.14, 2,297.82 and 874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.14 : 2,297.82 = 874.50 : x
2. Step 2: Convert to fraction form
   1,534.14/2,297.82 = 874.50/x
3. Step 3: Cross multiply
   1,534.14x = 2,297.82 × 874.50
4. Step 4: Simplify right side
   1,534.14x = 2,009,443.59
5. Step 5: Solve for x
   x = 2,009,443.59/1,534.14
6. Step 6: Final answer
   x = 1,309.82