Finding the Fourth Proportional to 1,585.50, 2,376.72 and 805.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.50 : 2,376.72 = 805.14 : x
2. Step 2: Convert to fraction form
   1,585.50/2,376.72 = 805.14/x
3. Step 3: Cross multiply
   1,585.50x = 2,376.72 × 805.14
4. Step 4: Simplify right side
   1,585.50x = 1,913,592.34
5. Step 5: Solve for x
   x = 1,913,592.34/1,585.50
6. Step 6: Final answer
   x = 1,206.93