Finding the Fourth Proportional to 7,123.84, 9,834.72 and 4,770

Step by Step Solution

1. Step 1: Write the proportion equation
   7,123.84 : 9,834.72 = 4,770 : x
2. Step 2: Convert to fraction form
   7,123.84/9,834.72 = 4,770/x
3. Step 3: Cross multiply
   7,123.84x = 9,834.72 × 4,770
4. Step 4: Simplify right side
   7,123.84x = 46,911,614.40
5. Step 5: Solve for x
   x = 46,911,614.40/7,123.84
6. Step 6: Final answer
   x = 6,585.16