Finding the Fourth Proportional to 9,384.90, 12,950.56 and 5,193.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.90 : 12,950.56 = 5,193.14 : x
2. Step 2: Convert to fraction form
   9,384.90/12,950.56 = 5,193.14/x
3. Step 3: Cross multiply
   9,384.90x = 12,950.56 × 5,193.14
4. Step 4: Simplify right side
   9,384.90x = 67,254,071.16
5. Step 5: Solve for x
   x = 67,254,071.16/9,384.90
6. Step 6: Final answer
   x = 7,166.20