Finding the Fourth Proportional to 5,180.56, 7,756.20 and 4,772.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180.56 : 7,756.20 = 4,772.32 : x
2. Step 2: Convert to fraction form
   5,180.56/7,756.20 = 4,772.32/x
3. Step 3: Cross multiply
   5,180.56x = 7,756.20 × 4,772.32
4. Step 4: Simplify right side
   5,180.56x = 37,015,068.38
5. Step 5: Solve for x
   x = 37,015,068.38/5,180.56
6. Step 6: Final answer
   x = 7,144.99