Finding the Fourth Proportional to 7,864.63, 10,829.77 and 7,690.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,864.63 : 10,829.77 = 7,690.01 : x
2. Step 2: Convert to fraction form
   7,864.63/10,829.77 = 7,690.01/x
3. Step 3: Cross multiply
   7,864.63x = 10,829.77 × 7,690.01
4. Step 4: Simplify right side
   7,864.63x = 83,280,966.22
5. Step 5: Solve for x
   x = 83,280,966.22/7,864.63
6. Step 6: Final answer
   x = 10,589.31