Finding the Fourth Proportional to 1,538.48, 2,123.35 and 875.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.48 : 2,123.35 = 875.30 : x
2. Step 2: Convert to fraction form
   1,538.48/2,123.35 = 875.30/x
3. Step 3: Cross multiply
   1,538.48x = 2,123.35 × 875.30
4. Step 4: Simplify right side
   1,538.48x = 1,858,555.45
5. Step 5: Solve for x
   x = 1,858,555.45/1,538.48
6. Step 6: Final answer
   x = 1,208.04