Finding the Fourth Proportional to 10,498.42, 14,488.05 and 5,782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.42 : 14,488.05 = 5,782.96 : x
2. Step 2: Convert to fraction form
   10,498.42/14,488.05 = 5,782.96/x
3. Step 3: Cross multiply
   10,498.42x = 14,488.05 × 5,782.96
4. Step 4: Simplify right side
   10,498.42x = 83,783,813.63
5. Step 5: Solve for x
   x = 83,783,813.63/10,498.42
6. Step 6: Final answer
   x = 7,980.61