Finding the Fourth Proportional to 7,557.96, 10,429.88 and 4,200.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,557.96 : 10,429.88 = 4,200.78 : x
2. Step 2: Convert to fraction form
   7,557.96/10,429.88 = 4,200.78/x
3. Step 3: Cross multiply
   7,557.96x = 10,429.88 × 4,200.78
4. Step 4: Simplify right side
   7,557.96x = 43,813,631.31
5. Step 5: Solve for x
   x = 43,813,631.31/7,557.96
6. Step 6: Final answer
   x = 5,797.02