Finding the Fourth Proportional to 16,594, 22,899.76 and 9,142

Step by Step Solution

1. Step 1: Write the proportion equation
   16,594 : 22,899.76 = 9,142 : x
2. Step 2: Convert to fraction form
   16,594/22,899.76 = 9,142/x
3. Step 3: Cross multiply
   16,594x = 22,899.76 × 9,142
4. Step 4: Simplify right side
   16,594x = 209,349,605.92
5. Step 5: Solve for x
   x = 209,349,605.92/16,594
6. Step 6: Final answer
   x = 12,615.98