Finding the Fourth Proportional to 9,099.50, 12,557.40 and 5,120.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,099.50 : 12,557.40 = 5,120.42 : x
2. Step 2: Convert to fraction form
   9,099.50/12,557.40 = 5,120.42/x
3. Step 3: Cross multiply
   9,099.50x = 12,557.40 × 5,120.42
4. Step 4: Simplify right side
   9,099.50x = 64,299,162.11
5. Step 5: Solve for x
   x = 64,299,162.11/9,099.50
6. Step 6: Final answer
   x = 7,066.23