Finding the Fourth Proportional to 2,372.82, 3,274.20 and 1,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,372.82 : 3,274.20 = 1,585.50 : x
2. Step 2: Convert to fraction form
   2,372.82/3,274.20 = 1,585.50/x
3. Step 3: Cross multiply
   2,372.82x = 3,274.20 × 1,585.50
4. Step 4: Simplify right side
   2,372.82x = 5,191,244.10
5. Step 5: Solve for x
   x = 5,191,244.10/2,372.82
6. Step 6: Final answer
   x = 2,187.80