Finding the Fourth Proportional to 10,501.78, 14,492.37 and 5,785.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.78 : 14,492.37 = 5,785.90 : x
2. Step 2: Convert to fraction form
   10,501.78/14,492.37 = 5,785.90/x
3. Step 3: Cross multiply
   10,501.78x = 14,492.37 × 5,785.90
4. Step 4: Simplify right side
   10,501.78x = 83,851,403.58
5. Step 5: Solve for x
   x = 83,851,403.58/10,501.78
6. Step 6: Final answer
   x = 7,984.49