Finding the Fourth Proportional to 7,830.57, 10,740.03 and 7,406.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830.57 : 10,740.03 = 7,406.94 : x
2. Step 2: Convert to fraction form
   7,830.57/10,740.03 = 7,406.94/x
3. Step 3: Cross multiply
   7,830.57x = 10,740.03 × 7,406.94
4. Step 4: Simplify right side
   7,830.57x = 79,550,757.81
5. Step 5: Solve for x
   x = 79,550,757.81/7,830.57
6. Step 6: Final answer
   x = 10,159.00