Finding the Fourth Proportional to 7,772.02, 10,713.27 and 5,779.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,772.02 : 10,713.27 = 5,779.42 : x
2. Step 2: Convert to fraction form
   7,772.02/10,713.27 = 5,779.42/x
3. Step 3: Cross multiply
   7,772.02x = 10,713.27 × 5,779.42
4. Step 4: Simplify right side
   7,772.02x = 61,916,486.90
5. Step 5: Solve for x
   x = 61,916,486.90/7,772.02
6. Step 6: Final answer
   x = 7,966.59