Finding the Fourth Proportional to 9,642.51, 14,451.89 and 5,486.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.51 : 14,451.89 = 5,486.00 : x
2. Step 2: Convert to fraction form
   9,642.51/14,451.89 = 5,486.00/x
3. Step 3: Cross multiply
   9,642.51x = 14,451.89 × 5,486.00
4. Step 4: Simplify right side
   9,642.51x = 79,282,968.85
5. Step 5: Solve for x
   x = 79,282,968.85/9,642.51
6. Step 6: Final answer
   x = 8,222.23