Finding the Fourth Proportional to 10,505.30, 14,498.10 and 5,789.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.30 : 14,498.10 = 5,789.60 : x
2. Step 2: Convert to fraction form
   10,505.30/14,498.10 = 5,789.60/x
3. Step 3: Cross multiply
   10,505.30x = 14,498.10 × 5,789.60
4. Step 4: Simplify right side
   10,505.30x = 83,938,199.76
5. Step 5: Solve for x
   x = 83,938,199.76/10,505.30
6. Step 6: Final answer
   x = 7,990.08