Finding the Fourth Proportional to 1,855.86, 2,561.31 and 1,148.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.86 : 2,561.31 = 1,148.17 : x
2. Step 2: Convert to fraction form
   1,855.86/2,561.31 = 1,148.17/x
3. Step 3: Cross multiply
   1,855.86x = 2,561.31 × 1,148.17
4. Step 4: Simplify right side
   1,855.86x = 2,940,813.56
5. Step 5: Solve for x
   x = 2,940,813.56/1,855.86
6. Step 6: Final answer
   x = 1,584.61