Finding the Fourth Proportional to 10,555.98, 14,567.14 and 5,776.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.98 : 14,567.14 = 5,776.02 : x
2. Step 2: Convert to fraction form
   10,555.98/14,567.14 = 5,776.02/x
3. Step 3: Cross multiply
   10,555.98x = 14,567.14 × 5,776.02
4. Step 4: Simplify right side
   10,555.98x = 84,140,091.98
5. Step 5: Solve for x
   x = 84,140,091.98/10,555.98
6. Step 6: Final answer
   x = 7,970.85