Finding the Fourth Proportional to 5,662.62, 7,784.22 and 5,058.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,662.62 : 7,784.22 = 5,058.78 : x
2. Step 2: Convert to fraction form
   5,662.62/7,784.22 = 5,058.78/x
3. Step 3: Cross multiply
   5,662.62x = 7,784.22 × 5,058.78
4. Step 4: Simplify right side
   5,662.62x = 39,378,656.45
5. Step 5: Solve for x
   x = 39,378,656.45/5,662.62
6. Step 6: Final answer
   x = 6,954.14