Finding the Fourth Proportional to 10,527.57, 15,779.06 and 5,846.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,527.57 : 15,779.06 = 5,846.49 : x
2. Step 2: Convert to fraction form
   10,527.57/15,779.06 = 5,846.49/x
3. Step 3: Cross multiply
   10,527.57x = 15,779.06 × 5,846.49
4. Step 4: Simplify right side
   10,527.57x = 92,252,087.27
5. Step 5: Solve for x
   x = 92,252,087.27/10,527.57
6. Step 6: Final answer
   x = 8,762.90