Finding the Fourth Proportional to 10,007.12, 13,810.35 and 5,758.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.12 : 13,810.35 = 5,758.82 : x
2. Step 2: Convert to fraction form
   10,007.12/13,810.35 = 5,758.82/x
3. Step 3: Cross multiply
   10,007.12x = 13,810.35 × 5,758.82
4. Step 4: Simplify right side
   10,007.12x = 79,531,319.79
5. Step 5: Solve for x
   x = 79,531,319.79/10,007.12
6. Step 6: Final answer
   x = 7,947.47