Finding the Fourth Proportional to 10,491.75, 14,478.62 and 5,775.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.75 : 14,478.62 = 5,775.93 : x
2. Step 2: Convert to fraction form
   10,491.75/14,478.62 = 5,775.93/x
3. Step 3: Cross multiply
   10,491.75x = 14,478.62 × 5,775.93
4. Step 4: Simplify right side
   10,491.75x = 83,627,466.74
5. Step 5: Solve for x
   x = 83,627,466.74/10,491.75
6. Step 6: Final answer
   x = 7,970.78