Finding the Fourth Proportional to 1,380.16, 1,898.96 and 1,193.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.16 : 1,898.96 = 1,193.05 : x
2. Step 2: Convert to fraction form
   1,380.16/1,898.96 = 1,193.05/x
3. Step 3: Cross multiply
   1,380.16x = 1,898.96 × 1,193.05
4. Step 4: Simplify right side
   1,380.16x = 2,265,554.23
5. Step 5: Solve for x
   x = 2,265,554.23/1,380.16
6. Step 6: Final answer
   x = 1,641.52