Finding the Fourth Proportional to 1,853.28, 2,555.10 and 1,538.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.28 : 2,555.10 = 1,538.82 : x
2. Step 2: Convert to fraction form
   1,853.28/2,555.10 = 1,538.82/x
3. Step 3: Cross multiply
   1,853.28x = 2,555.10 × 1,538.82
4. Step 4: Simplify right side
   1,853.28x = 3,931,838.98
5. Step 5: Solve for x
   x = 3,931,838.98/1,853.28
6. Step 6: Final answer
   x = 2,121.56