Finding the Fourth Proportional to 10,830.78, 14,946.42 and 5,862.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,830.78 : 14,946.42 = 5,862.78 : x
2. Step 2: Convert to fraction form
   10,830.78/14,946.42 = 5,862.78/x
3. Step 3: Cross multiply
   10,830.78x = 14,946.42 × 5,862.78
4. Step 4: Simplify right side
   10,830.78x = 87,627,572.25
5. Step 5: Solve for x
   x = 87,627,572.25/10,830.78
6. Step 6: Final answer
   x = 8,090.61