Finding the Fourth Proportional to 10,456.34, 14,430.05 and 5,918.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.34 : 14,430.05 = 5,918.67 : x
2. Step 2: Convert to fraction form
   10,456.34/14,430.05 = 5,918.67/x
3. Step 3: Cross multiply
   10,456.34x = 14,430.05 × 5,918.67
4. Step 4: Simplify right side
   10,456.34x = 85,406,704.03
5. Step 5: Solve for x
   x = 85,406,704.03/10,456.34
6. Step 6: Final answer
   x = 8,167.93