Finding the Fourth Proportional to 7,780.32, 10,738.37 and 5,421.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.32 : 10,738.37 = 5,421.09 : x
2. Step 2: Convert to fraction form
   7,780.32/10,738.37 = 5,421.09/x
3. Step 3: Cross multiply
   7,780.32x = 10,738.37 × 5,421.09
4. Step 4: Simplify right side
   7,780.32x = 58,213,724.04
5. Step 5: Solve for x
   x = 58,213,724.04/7,780.32
6. Step 6: Final answer
   x = 7,482.18