Finding the Fourth Proportional to 1,538.86, 2,123.10 and 875.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.86 : 2,123.10 = 875.55 : x
2. Step 2: Convert to fraction form
   1,538.86/2,123.10 = 875.55/x
3. Step 3: Cross multiply
   1,538.86x = 2,123.10 × 875.55
4. Step 4: Simplify right side
   1,538.86x = 1,858,878.69
5. Step 5: Solve for x
   x = 1,858,878.69/1,538.86
6. Step 6: Final answer
   x = 1,207.96