Finding the Fourth Proportional to 25,315.86, 37,973.88 and 7,785.57

Step by Step Solution

1. Step 1: Write the proportion equation
   25,315.86 : 37,973.88 = 7,785.57 : x
2. Step 2: Convert to fraction form
   25,315.86/37,973.88 = 7,785.57/x
3. Step 3: Cross multiply
   25,315.86x = 37,973.88 × 7,785.57
4. Step 4: Simplify right side
   25,315.86x = 295,648,300.91
5. Step 5: Solve for x
   x = 295,648,300.91/25,315.86
6. Step 6: Final answer
   x = 11,678.38