Finding the Fourth Proportional to 1,523.34, 2,280.15 and 1,085.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.34 : 2,280.15 = 1,085.40 : x
2. Step 2: Convert to fraction form
   1,523.34/2,280.15 = 1,085.40/x
3. Step 3: Cross multiply
   1,523.34x = 2,280.15 × 1,085.40
4. Step 4: Simplify right side
   1,523.34x = 2,474,874.81
5. Step 5: Solve for x
   x = 2,474,874.81/1,523.34
6. Step 6: Final answer
   x = 1,624.64