Finding the Fourth Proportional to 7,633.78, 10,541.13 and 5,742.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,633.78 : 10,541.13 = 5,742.09 : x
2. Step 2: Convert to fraction form
   7,633.78/10,541.13 = 5,742.09/x
3. Step 3: Cross multiply
   7,633.78x = 10,541.13 × 5,742.09
4. Step 4: Simplify right side
   7,633.78x = 60,528,117.16
5. Step 5: Solve for x
   x = 60,528,117.16/7,633.78
6. Step 6: Final answer
   x = 7,928.98