Finding the Fourth Proportional to 10,007.80, 13,810.70 and 5,700.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.80 : 13,810.70 = 5,700.94 : x
2. Step 2: Convert to fraction form
   10,007.80/13,810.70 = 5,700.94/x
3. Step 3: Cross multiply
   10,007.80x = 13,810.70 × 5,700.94
4. Step 4: Simplify right side
   10,007.80x = 78,733,972.06
5. Step 5: Solve for x
   x = 78,733,972.06/10,007.80
6. Step 6: Final answer
   x = 7,867.26