Finding the Fourth Proportional to 10,498.06, 14,487.15 and 5,782.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.06 : 14,487.15 = 5,782.78 : x
2. Step 2: Convert to fraction form
   10,498.06/14,487.15 = 5,782.78/x
3. Step 3: Cross multiply
   10,498.06x = 14,487.15 × 5,782.78
4. Step 4: Simplify right side
   10,498.06x = 83,776,001.28
5. Step 5: Solve for x
   x = 83,776,001.28/10,498.06
6. Step 6: Final answer
   x = 7,980.14