Finding the Fourth Proportional to 2,589.78, 3,875.94 and 1,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.78 : 3,875.94 = 1,492.50 : x
2. Step 2: Convert to fraction form
   2,589.78/3,875.94 = 1,492.50/x
3. Step 3: Cross multiply
   2,589.78x = 3,875.94 × 1,492.50
4. Step 4: Simplify right side
   2,589.78x = 5,784,840.45
5. Step 5: Solve for x
   x = 5,784,840.45/2,589.78
6. Step 6: Final answer
   x = 2,233.72