Finding the Fourth Proportional to 1,538.44, 2,123.01 and 875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.44 : 2,123.01 = 875.25 : x
2. Step 2: Convert to fraction form
   1,538.44/2,123.01 = 875.25/x
3. Step 3: Cross multiply
   1,538.44x = 2,123.01 × 875.25
4. Step 4: Simplify right side
   1,538.44x = 1,858,164.50
5. Step 5: Solve for x
   x = 1,858,164.50/1,538.44
6. Step 6: Final answer
   x = 1,207.82