Finding the Fourth Proportional to 4,653.14, 6,978.34 and 4,605.98

Step by Step Solution

1. Step 1: Write the proportion equation
   4,653.14 : 6,978.34 = 4,605.98 : x
2. Step 2: Convert to fraction form
   4,653.14/6,978.34 = 4,605.98/x
3. Step 3: Cross multiply
   4,653.14x = 6,978.34 × 4,605.98
4. Step 4: Simplify right side
   4,653.14x = 32,142,100.40
5. Step 5: Solve for x
   x = 32,142,100.40/4,653.14
6. Step 6: Final answer
   x = 6,907.62