Finding the Fourth Proportional to 7,538.78, 10,391.52 and 5,942.84

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.78 : 10,391.52 = 5,942.84 : x
2. Step 2: Convert to fraction form
   7,538.78/10,391.52 = 5,942.84/x
3. Step 3: Cross multiply
   7,538.78x = 10,391.52 × 5,942.84
4. Step 4: Simplify right side
   7,538.78x = 61,755,088.76
5. Step 5: Solve for x
   x = 61,755,088.76/7,538.78
6. Step 6: Final answer
   x = 8,191.66