Finding the Fourth Proportional to 10,498.04, 14,487.90 and 5,782.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.04 : 14,487.90 = 5,782.40 : x
2. Step 2: Convert to fraction form
   10,498.04/14,487.90 = 5,782.40/x
3. Step 3: Cross multiply
   10,498.04x = 14,487.90 × 5,782.40
4. Step 4: Simplify right side
   10,498.04x = 83,774,832.96
5. Step 5: Solve for x
   x = 83,774,832.96/10,498.04
6. Step 6: Final answer
   x = 7,980.05