Finding the Fourth Proportional to 10,499.77, 14,489.52 and 5,784.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.77 : 14,489.52 = 5,784.07 : x
2. Step 2: Convert to fraction form
   10,499.77/14,489.52 = 5,784.07/x
3. Step 3: Cross multiply
   10,499.77x = 14,489.52 × 5,784.07
4. Step 4: Simplify right side
   10,499.77x = 83,808,397.95
5. Step 5: Solve for x
   x = 83,808,397.95/10,499.77
6. Step 6: Final answer
   x = 7,981.93