Finding the Fourth Proportional to 10,527.21, 14,527.48 and 5,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,527.21 : 14,527.48 = 5,811.50 : x
2. Step 2: Convert to fraction form
   10,527.21/14,527.48 = 5,811.50/x
3. Step 3: Cross multiply
   10,527.21x = 14,527.48 × 5,811.50
4. Step 4: Simplify right side
   10,527.21x = 84,426,450.02
5. Step 5: Solve for x
   x = 84,426,450.02/10,527.21
6. Step 6: Final answer
   x = 8,019.83