Finding the Fourth Proportional to 1,538.61, 2,123.46 and 875.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.61 : 2,123.46 = 875.56 : x
2. Step 2: Convert to fraction form
   1,538.61/2,123.46 = 875.56/x
3. Step 3: Cross multiply
   1,538.61x = 2,123.46 × 875.56
4. Step 4: Simplify right side
   1,538.61x = 1,859,211.33
5. Step 5: Solve for x
   x = 1,859,211.33/1,538.61
6. Step 6: Final answer
   x = 1,208.37