Finding the Fourth Proportional to 5,633.78, 7,774.83 and 3,116.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633.78 : 7,774.83 = 3,116.00 : x
2. Step 2: Convert to fraction form
   5,633.78/7,774.83 = 3,116.00/x
3. Step 3: Cross multiply
   5,633.78x = 7,774.83 × 3,116.00
4. Step 4: Simplify right side
   5,633.78x = 24,226,389.72
5. Step 5: Solve for x
   x = 24,226,389.72/5,633.78
6. Step 6: Final answer
   x = 4,300.21