Finding the Fourth Proportional to 2,492.50, 3,738.73 and 643.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.50 : 3,738.73 = 643.61 : x
2. Step 2: Convert to fraction form
   2,492.50/3,738.73 = 643.61/x
3. Step 3: Cross multiply
   2,492.50x = 3,738.73 × 643.61
4. Step 4: Simplify right side
   2,492.50x = 2,406,284.02
5. Step 5: Solve for x
   x = 2,406,284.02/2,492.50
6. Step 6: Final answer
   x = 965.41