Finding the Fourth Proportional to 1,538.88, 2,123.63 and 875.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.88 : 2,123.63 = 875.72 : x
2. Step 2: Convert to fraction form
   1,538.88/2,123.63 = 875.72/x
3. Step 3: Cross multiply
   1,538.88x = 2,123.63 × 875.72
4. Step 4: Simplify right side
   1,538.88x = 1,859,690.27
5. Step 5: Solve for x
   x = 1,859,690.27/1,538.88
6. Step 6: Final answer
   x = 1,208.47