Finding the Fourth Proportional to 10,132.56, 13,983.55 and 5,656.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.56 : 13,983.55 = 5,656.30 : x
2. Step 2: Convert to fraction form
   10,132.56/13,983.55 = 5,656.30/x
3. Step 3: Cross multiply
   10,132.56x = 13,983.55 × 5,656.30
4. Step 4: Simplify right side
   10,132.56x = 79,095,104.77
5. Step 5: Solve for x
   x = 79,095,104.77/10,132.56
6. Step 6: Final answer
   x = 7,806.03