Finding the Fourth Proportional to 5,634.77, 8,434.83 and 5,077.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634.77 : 8,434.83 = 5,077.08 : x
2. Step 2: Convert to fraction form
   5,634.77/8,434.83 = 5,077.08/x
3. Step 3: Cross multiply
   5,634.77x = 8,434.83 × 5,077.08
4. Step 4: Simplify right side
   5,634.77x = 42,824,325.74
5. Step 5: Solve for x
   x = 42,824,325.74/5,634.77
6. Step 6: Final answer
   x = 7,600.02