Finding the Fourth Proportional to 10,296.51, 14,209.05 and 5,580.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.51 : 14,209.05 = 5,580.69 : x
2. Step 2: Convert to fraction form
   10,296.51/14,209.05 = 5,580.69/x
3. Step 3: Cross multiply
   10,296.51x = 14,209.05 × 5,580.69
4. Step 4: Simplify right side
   10,296.51x = 79,296,303.24
5. Step 5: Solve for x
   x = 79,296,303.24/10,296.51
6. Step 6: Final answer
   x = 7,701.28