Finding the Fourth Proportional to 5,705.62, 7,816.55 and 5,492.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,705.62 : 7,816.55 = 5,492.40 : x
2. Step 2: Convert to fraction form
   5,705.62/7,816.55 = 5,492.40/x
3. Step 3: Cross multiply
   5,705.62x = 7,816.55 × 5,492.40
4. Step 4: Simplify right side
   5,705.62x = 42,931,591.76
5. Step 5: Solve for x
   x = 42,931,591.76/5,705.62
6. Step 6: Final answer
   x = 7,524.44