Finding the Fourth Proportional to 1,538.53, 2,123.17 and 875.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.53 : 2,123.17 = 875.43 : x
2. Step 2: Convert to fraction form
   1,538.53/2,123.17 = 875.43/x
3. Step 3: Cross multiply
   1,538.53x = 2,123.17 × 875.43
4. Step 4: Simplify right side
   1,538.53x = 1,858,686.71
5. Step 5: Solve for x
   x = 1,858,686.71/1,538.53
6. Step 6: Final answer
   x = 1,208.09