Finding the Fourth Proportional to 9,776.85, 14,669.42 and 5,100.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.85 : 14,669.42 = 5,100.32 : x
2. Step 2: Convert to fraction form
   9,776.85/14,669.42 = 5,100.32/x
3. Step 3: Cross multiply
   9,776.85x = 14,669.42 × 5,100.32
4. Step 4: Simplify right side
   9,776.85x = 74,818,637.37
5. Step 5: Solve for x
   x = 74,818,637.37/9,776.85
6. Step 6: Final answer
   x = 7,652.63