Finding the Fourth Proportional to 7,650.86, 11,467.64 and 3,758.00

Step by Step Solution

1. Step 1: Write the proportion equation
   7,650.86 : 11,467.64 = 3,758.00 : x
2. Step 2: Convert to fraction form
   7,650.86/11,467.64 = 3,758.00/x
3. Step 3: Cross multiply
   7,650.86x = 11,467.64 × 3,758.00
4. Step 4: Simplify right side
   7,650.86x = 43,095,343.18
5. Step 5: Solve for x
   x = 43,095,343.18/7,650.86
6. Step 6: Final answer
   x = 5,632.75