Finding the Fourth Proportional to 5,667.84, 7,822.16 and 3,430.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.84 : 7,822.16 = 3,430.26 : x
2. Step 2: Convert to fraction form
   5,667.84/7,822.16 = 3,430.26/x
3. Step 3: Cross multiply
   5,667.84x = 7,822.16 × 3,430.26
4. Step 4: Simplify right side
   5,667.84x = 26,832,042.56
5. Step 5: Solve for x
   x = 26,832,042.56/5,667.84
6. Step 6: Final answer
   x = 4,734.09