Finding the Fourth Proportional to 1,538.70, 2,123.16 and 875.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.70 : 2,123.16 = 875.43 : x
2. Step 2: Convert to fraction form
   1,538.70/2,123.16 = 875.43/x
3. Step 3: Cross multiply
   1,538.70x = 2,123.16 × 875.43
4. Step 4: Simplify right side
   1,538.70x = 1,858,666.60
5. Step 5: Solve for x
   x = 1,858,666.60/1,538.70
6. Step 6: Final answer
   x = 1,207.94