Finding the Fourth Proportional to 7,464, 10,300.56 and 4,106.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,464 : 10,300.56 = 4,106.64 : x
2. Step 2: Convert to fraction form
   7,464/10,300.56 = 4,106.64/x
3. Step 3: Cross multiply
   7,464x = 10,300.56 × 4,106.64
4. Step 4: Simplify right side
   7,464x = 42,300,691.72
5. Step 5: Solve for x
   x = 42,300,691.72/7,464
6. Step 6: Final answer
   x = 5,667.30