Finding the Fourth Proportional to 5,005.86, 7,546.79 and 4,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,005.86 : 7,546.79 = 4,738.02 : x
2. Step 2: Convert to fraction form
   5,005.86/7,546.79 = 4,738.02/x
3. Step 3: Cross multiply
   5,005.86x = 7,546.79 × 4,738.02
4. Step 4: Simplify right side
   5,005.86x = 35,756,818.27
5. Step 5: Solve for x
   x = 35,756,818.27/5,005.86
6. Step 6: Final answer
   x = 7,142.99