Finding the Fourth Proportional to 1,538.70, 2,123.42 and 875.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.70 : 2,123.42 = 875.56 : x
2. Step 2: Convert to fraction form
   1,538.70/2,123.42 = 875.56/x
3. Step 3: Cross multiply
   1,538.70x = 2,123.42 × 875.56
4. Step 4: Simplify right side
   1,538.70x = 1,859,181.62
5. Step 5: Solve for x
   x = 1,859,181.62/1,538.70
6. Step 6: Final answer
   x = 1,208.28