Finding the Fourth Proportional to 1,781.54, 2,458.22 and 1,152.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.54 : 2,458.22 = 1,152.92 : x
2. Step 2: Convert to fraction form
   1,781.54/2,458.22 = 1,152.92/x
3. Step 3: Cross multiply
   1,781.54x = 2,458.22 × 1,152.92
4. Step 4: Simplify right side
   1,781.54x = 2,834,131.00
5. Step 5: Solve for x
   x = 2,834,131.00/1,781.54
6. Step 6: Final answer
   x = 1,590.83