Finding the Fourth Proportional to 7,642.56, 10,540.74 and 5,123.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.56 : 10,540.74 = 5,123.86 : x
2. Step 2: Convert to fraction form
   7,642.56/10,540.74 = 5,123.86/x
3. Step 3: Cross multiply
   7,642.56x = 10,540.74 × 5,123.86
4. Step 4: Simplify right side
   7,642.56x = 54,009,276.06
5. Step 5: Solve for x
   x = 54,009,276.06/7,642.56
6. Step 6: Final answer
   x = 7,066.91