Finding the Fourth Proportional to 1,538.46, 2,123.10 and 875.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.46 : 2,123.10 = 875.32 : x
2. Step 2: Convert to fraction form
   1,538.46/2,123.10 = 875.32/x
3. Step 3: Cross multiply
   1,538.46x = 2,123.10 × 875.32
4. Step 4: Simplify right side
   1,538.46x = 1,858,391.89
5. Step 5: Solve for x
   x = 1,858,391.89/1,538.46
6. Step 6: Final answer
   x = 1,207.96