Finding the Fourth Proportional to 7,460.69, 10,288.90 and 5,776.70

Step by Step Solution

1. Step 1: Write the proportion equation
   7,460.69 : 10,288.90 = 5,776.70 : x
2. Step 2: Convert to fraction form
   7,460.69/10,288.90 = 5,776.70/x
3. Step 3: Cross multiply
   7,460.69x = 10,288.90 × 5,776.70
4. Step 4: Simplify right side
   7,460.69x = 59,435,888.63
5. Step 5: Solve for x
   x = 59,435,888.63/7,460.69
6. Step 6: Final answer
   x = 7,966.54