Finding the Fourth Proportional to 5,666.76, 7,837.56 and 5,077.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666.76 : 7,837.56 = 5,077.08 : x
2. Step 2: Convert to fraction form
   5,666.76/7,837.56 = 5,077.08/x
3. Step 3: Cross multiply
   5,666.76x = 7,837.56 × 5,077.08
4. Step 4: Simplify right side
   5,666.76x = 39,791,919.12
5. Step 5: Solve for x
   x = 39,791,919.12/5,666.76
6. Step 6: Final answer
   x = 7,021.99