Finding the Fourth Proportional to 5,106.84, 7,706.23 and 4,923.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.84 : 7,706.23 = 4,923.78 : x
2. Step 2: Convert to fraction form
   5,106.84/7,706.23 = 4,923.78/x
3. Step 3: Cross multiply
   5,106.84x = 7,706.23 × 4,923.78
4. Step 4: Simplify right side
   5,106.84x = 37,943,781.15
5. Step 5: Solve for x
   x = 37,943,781.15/5,106.84
6. Step 6: Final answer
   x = 7,429.99