Finding the Fourth Proportional to 5,700.78, 7,897.50 and 5,564.70

Step by Step Solution

1. Step 1: Write the proportion equation
   5,700.78 : 7,897.50 = 5,564.70 : x
2. Step 2: Convert to fraction form
   5,700.78/7,897.50 = 5,564.70/x
3. Step 3: Cross multiply
   5,700.78x = 7,897.50 × 5,564.70
4. Step 4: Simplify right side
   5,700.78x = 43,947,218.25
5. Step 5: Solve for x
   x = 43,947,218.25/5,700.78
6. Step 6: Final answer
   x = 7,708.98