Finding the Fourth Proportional to 12,813.56, 17,683.89 and 7,779.08

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813.56 : 17,683.89 = 7,779.08 : x
2. Step 2: Convert to fraction form
   12,813.56/17,683.89 = 7,779.08/x
3. Step 3: Cross multiply
   12,813.56x = 17,683.89 × 7,779.08
4. Step 4: Simplify right side
   12,813.56x = 137,564,395.02
5. Step 5: Solve for x
   x = 137,564,395.02/12,813.56
6. Step 6: Final answer
   x = 10,735.85