Finding the Fourth Proportional to 1,538.64, 2,123.37 and 875.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.64 : 2,123.37 = 875.59 : x
2. Step 2: Convert to fraction form
   1,538.64/2,123.37 = 875.59/x
3. Step 3: Cross multiply
   1,538.64x = 2,123.37 × 875.59
4. Step 4: Simplify right side
   1,538.64x = 1,859,196.23
5. Step 5: Solve for x
   x = 1,859,196.23/1,538.64
6. Step 6: Final answer
   x = 1,208.34