Finding the Fourth Proportional to 16,066.56, 24,094.72 and 5,120

Step by Step Solution

1. Step 1: Write the proportion equation
   16,066.56 : 24,094.72 = 5,120 : x
2. Step 2: Convert to fraction form
   16,066.56/24,094.72 = 5,120/x
3. Step 3: Cross multiply
   16,066.56x = 24,094.72 × 5,120
4. Step 4: Simplify right side
   16,066.56x = 123,364,966.40
5. Step 5: Solve for x
   x = 123,364,966.40/16,066.56
6. Step 6: Final answer
   x = 7,678.37