Finding the Fourth Proportional to 10,507.40, 14,500.11 and 5,727.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.40 : 14,500.11 = 5,727.34 : x
2. Step 2: Convert to fraction form
   10,507.40/14,500.11 = 5,727.34/x
3. Step 3: Cross multiply
   10,507.40x = 14,500.11 × 5,727.34
4. Step 4: Simplify right side
   10,507.40x = 83,047,095.50
5. Step 5: Solve for x
   x = 83,047,095.50/10,507.40
6. Step 6: Final answer
   x = 7,903.68