Finding the Fourth Proportional to 7,145.10, 10,729.80 and 5,298.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,145.10 : 10,729.80 = 5,298.30 : x
2. Step 2: Convert to fraction form
   7,145.10/10,729.80 = 5,298.30/x
3. Step 3: Cross multiply
   7,145.10x = 10,729.80 × 5,298.30
4. Step 4: Simplify right side
   7,145.10x = 56,849,699.34
5. Step 5: Solve for x
   x = 56,849,699.34/7,145.10
6. Step 6: Final answer
   x = 7,956.46