Finding the Fourth Proportional to 9,384.64, 12,950.22 and 5,192.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.64 : 12,950.22 = 5,192.98 : x
2. Step 2: Convert to fraction form
   9,384.64/12,950.22 = 5,192.98/x
3. Step 3: Cross multiply
   9,384.64x = 12,950.22 × 5,192.98
4. Step 4: Simplify right side
   9,384.64x = 67,250,233.46
5. Step 5: Solve for x
   x = 67,250,233.46/9,384.64
6. Step 6: Final answer
   x = 7,165.99