Finding the Fourth Proportional to 9,037.78, 12,470.37 and 5,678.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,037.78 : 12,470.37 = 5,678.65 : x
2. Step 2: Convert to fraction form
   9,037.78/12,470.37 = 5,678.65/x
3. Step 3: Cross multiply
   9,037.78x = 12,470.37 × 5,678.65
4. Step 4: Simplify right side
   9,037.78x = 70,814,838.21
5. Step 5: Solve for x
   x = 70,814,838.21/9,037.78
6. Step 6: Final answer
   x = 7,835.42