Finding the Fourth Proportional to 7,845.83, 10,823.59 and 5,011.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,845.83 : 10,823.59 = 5,011.76 : x
2. Step 2: Convert to fraction form
   7,845.83/10,823.59 = 5,011.76/x
3. Step 3: Cross multiply
   7,845.83x = 10,823.59 × 5,011.76
4. Step 4: Simplify right side
   7,845.83x = 54,245,168.77
5. Step 5: Solve for x
   x = 54,245,168.77/7,845.83
6. Step 6: Final answer
   x = 6,913.89