Finding the Fourth Proportional to 7,705.83, 11,551.72 and 2,774.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.83 : 11,551.72 = 2,774.34 : x
2. Step 2: Convert to fraction form
   7,705.83/11,551.72 = 2,774.34/x
3. Step 3: Cross multiply
   7,705.83x = 11,551.72 × 2,774.34
4. Step 4: Simplify right side
   7,705.83x = 32,048,420.81
5. Step 5: Solve for x
   x = 32,048,420.81/7,705.83
6. Step 6: Final answer
   x = 4,158.99