Finding the Fourth Proportional to 5,667.68, 7,802.25 and 4,671.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.68 : 7,802.25 = 4,671.38 : x
2. Step 2: Convert to fraction form
   5,667.68/7,802.25 = 4,671.38/x
3. Step 3: Cross multiply
   5,667.68x = 7,802.25 × 4,671.38
4. Step 4: Simplify right side
   5,667.68x = 36,447,274.61
5. Step 5: Solve for x
   x = 36,447,274.61/5,667.68
6. Step 6: Final answer
   x = 6,430.72