Finding the Fourth Proportional to 2,492.40, 3,734.55 and 1,566.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.40 : 3,734.55 = 1,566.30 : x
2. Step 2: Convert to fraction form
   2,492.40/3,734.55 = 1,566.30/x
3. Step 3: Cross multiply
   2,492.40x = 3,734.55 × 1,566.30
4. Step 4: Simplify right side
   2,492.40x = 5,849,425.67
5. Step 5: Solve for x
   x = 5,849,425.67/2,492.40
6. Step 6: Final answer
   x = 2,346.90