Finding the Fourth Proportional to 7,642.38, 10,538.46 and 5,656.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.38 : 10,538.46 = 5,656.80 : x
2. Step 2: Convert to fraction form
   7,642.38/10,538.46 = 5,656.80/x
3. Step 3: Cross multiply
   7,642.38x = 10,538.46 × 5,656.80
4. Step 4: Simplify right side
   7,642.38x = 59,613,960.53
5. Step 5: Solve for x
   x = 59,613,960.53/7,642.38
6. Step 6: Final answer
   x = 7,800.44