Finding the Fourth Proportional to 7,005.64, 10,499.10 and 5,148.04

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.64 : 10,499.10 = 5,148.04 : x
2. Step 2: Convert to fraction form
   7,005.64/10,499.10 = 5,148.04/x
3. Step 3: Cross multiply
   7,005.64x = 10,499.10 × 5,148.04
4. Step 4: Simplify right side
   7,005.64x = 54,049,786.76
5. Step 5: Solve for x
   x = 54,049,786.76/7,005.64
6. Step 6: Final answer
   x = 7,715.18