Finding the Fourth Proportional to 9,111.75, 12,574.10 and 5,133.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,111.75 : 12,574.10 = 5,133.53 : x
2. Step 2: Convert to fraction form
   9,111.75/12,574.10 = 5,133.53/x
3. Step 3: Cross multiply
   9,111.75x = 12,574.10 × 5,133.53
4. Step 4: Simplify right side
   9,111.75x = 64,549,519.57
5. Step 5: Solve for x
   x = 64,549,519.57/9,111.75
6. Step 6: Final answer
   x = 7,084.21