Finding the Fourth Proportional to 6,737.80, 9,298.18 and 4,084.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,737.80 : 9,298.18 = 4,084.52 : x
2. Step 2: Convert to fraction form
   6,737.80/9,298.18 = 4,084.52/x
3. Step 3: Cross multiply
   6,737.80x = 9,298.18 × 4,084.52
4. Step 4: Simplify right side
   6,737.80x = 37,978,602.17
5. Step 5: Solve for x
   x = 37,978,602.17/6,737.80
6. Step 6: Final answer
   x = 5,636.65