Finding the Fourth Proportional to 5,748.63, 7,934.67 and 5,400.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748.63 : 7,934.67 = 5,400.15 : x
2. Step 2: Convert to fraction form
   5,748.63/7,934.67 = 5,400.15/x
3. Step 3: Cross multiply
   5,748.63x = 7,934.67 × 5,400.15
4. Step 4: Simplify right side
   5,748.63x = 42,848,408.20
5. Step 5: Solve for x
   x = 42,848,408.20/5,748.63
6. Step 6: Final answer
   x = 7,453.67