Finding the Fourth Proportional to 10,492.12, 14,477.70 and 5,776.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.12 : 14,477.70 = 5,776.30 : x
2. Step 2: Convert to fraction form
   10,492.12/14,477.70 = 5,776.30/x
3. Step 3: Cross multiply
   10,492.12x = 14,477.70 × 5,776.30
4. Step 4: Simplify right side
   10,492.12x = 83,627,538.51
5. Step 5: Solve for x
   x = 83,627,538.51/10,492.12
6. Step 6: Final answer
   x = 7,970.51