Finding the Fourth Proportional to 10,076, 13,904.88 and 5,660

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 13,904.88 = 5,660 : x
2. Step 2: Convert to fraction form
   10,076/13,904.88 = 5,660/x
3. Step 3: Cross multiply
   10,076x = 13,904.88 × 5,660
4. Step 4: Simplify right side
   10,076x = 78,701,620.80
5. Step 5: Solve for x
   x = 78,701,620.80/10,076
6. Step 6: Final answer
   x = 7,810.80