Finding the Fourth Proportional to 1,152.17, 1,586.77 and 1,078.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.17 : 1,586.77 = 1,078.05 : x
2. Step 2: Convert to fraction form
   1,152.17/1,586.77 = 1,078.05/x
3. Step 3: Cross multiply
   1,152.17x = 1,586.77 × 1,078.05
4. Step 4: Simplify right side
   1,152.17x = 1,710,617.40
5. Step 5: Solve for x
   x = 1,710,617.40/1,152.17
6. Step 6: Final answer
   x = 1,484.69