Finding the Fourth Proportional to 10,499.19, 14,487.92 and 5,782.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.19 : 14,487.92 = 5,782.35 : x
2. Step 2: Convert to fraction form
   10,499.19/14,487.92 = 5,782.35/x
3. Step 3: Cross multiply
   10,499.19x = 14,487.92 × 5,782.35
4. Step 4: Simplify right side
   10,499.19x = 83,774,195.30
5. Step 5: Solve for x
   x = 83,774,195.30/10,499.19
6. Step 6: Final answer
   x = 7,979.11