Finding the Fourth Proportional to 10,077.48, 13,907.94 and 5,886.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.48 : 13,907.94 = 5,886.12 : x
2. Step 2: Convert to fraction form
   10,077.48/13,907.94 = 5,886.12/x
3. Step 3: Cross multiply
   10,077.48x = 13,907.94 × 5,886.12
4. Step 4: Simplify right side
   10,077.48x = 81,863,803.79
5. Step 5: Solve for x
   x = 81,863,803.79/10,077.48
6. Step 6: Final answer
   x = 8,123.44