Finding the Fourth Proportional to 7,664.00, 10,577.34 and 4,307.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,664.00 : 10,577.34 = 4,307.13 : x
2. Step 2: Convert to fraction form
   7,664.00/10,577.34 = 4,307.13/x
3. Step 3: Cross multiply
   7,664.00x = 10,577.34 × 4,307.13
4. Step 4: Simplify right side
   7,664.00x = 45,557,978.43
5. Step 5: Solve for x
   x = 45,557,978.43/7,664.00
6. Step 6: Final answer
   x = 5,944.42