Finding the Fourth Proportional to 7,746.46, 10,684.71 and 5,093.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746.46 : 10,684.71 = 5,093.02 : x
2. Step 2: Convert to fraction form
   7,746.46/10,684.71 = 5,093.02/x
3. Step 3: Cross multiply
   7,746.46x = 10,684.71 × 5,093.02
4. Step 4: Simplify right side
   7,746.46x = 54,417,441.72
5. Step 5: Solve for x
   x = 54,417,441.72/7,746.46
6. Step 6: Final answer
   x = 7,024.81