Finding the Fourth Proportional to 1,538.72, 2,123.54 and 875.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.72 : 2,123.54 = 875.53 : x
2. Step 2: Convert to fraction form
   1,538.72/2,123.54 = 875.53/x
3. Step 3: Cross multiply
   1,538.72x = 2,123.54 × 875.53
4. Step 4: Simplify right side
   1,538.72x = 1,859,219.86
5. Step 5: Solve for x
   x = 1,859,219.86/1,538.72
6. Step 6: Final answer
   x = 1,208.29