Finding the Fourth Proportional to 9,742.89, 13,445.34 and 5,494.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.89 : 13,445.34 = 5,494.16 : x
2. Step 2: Convert to fraction form
   9,742.89/13,445.34 = 5,494.16/x
3. Step 3: Cross multiply
   9,742.89x = 13,445.34 × 5,494.16
4. Step 4: Simplify right side
   9,742.89x = 73,870,754.52
5. Step 5: Solve for x
   x = 73,870,754.52/9,742.89
6. Step 6: Final answer
   x = 7,582.02