Finding the Fourth Proportional to 1,538.93, 2,123.81 and 875.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.93 : 2,123.81 = 875.84 : x
2. Step 2: Convert to fraction form
   1,538.93/2,123.81 = 875.84/x
3. Step 3: Cross multiply
   1,538.93x = 2,123.81 × 875.84
4. Step 4: Simplify right side
   1,538.93x = 1,860,109.32
5. Step 5: Solve for x
   x = 1,860,109.32/1,538.93
6. Step 6: Final answer
   x = 1,208.71