Finding the Fourth Proportional to 10,977.30, 15,148.70 and 5,941.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977.30 : 15,148.70 = 5,941.57 : x
2. Step 2: Convert to fraction form
   10,977.30/15,148.70 = 5,941.57/x
3. Step 3: Cross multiply
   10,977.30x = 15,148.70 × 5,941.57
4. Step 4: Simplify right side
   10,977.30x = 90,007,061.46
5. Step 5: Solve for x
   x = 90,007,061.46/10,977.30
6. Step 6: Final answer
   x = 8,199.38