Finding the Fourth Proportional to 1,538.40, 2,123.20 and 875.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.40 : 2,123.20 = 875.32 : x
2. Step 2: Convert to fraction form
   1,538.40/2,123.20 = 875.32/x
3. Step 3: Cross multiply
   1,538.40x = 2,123.20 × 875.32
4. Step 4: Simplify right side
   1,538.40x = 1,858,479.42
5. Step 5: Solve for x
   x = 1,858,479.42/1,538.40
6. Step 6: Final answer
   x = 1,208.06