Finding the Fourth Proportional to 7,382.34, 10,192.43 and 5,700.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,382.34 : 10,192.43 = 5,700.78 : x
2. Step 2: Convert to fraction form
   7,382.34/10,192.43 = 5,700.78/x
3. Step 3: Cross multiply
   7,382.34x = 10,192.43 × 5,700.78
4. Step 4: Simplify right side
   7,382.34x = 58,104,815.35
5. Step 5: Solve for x
   x = 58,104,815.35/7,382.34
6. Step 6: Final answer
   x = 7,870.79