Finding the Fourth Proportional to 10,492.74, 14,479.93 and 5,777.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.74 : 14,479.93 = 5,777.02 : x
2. Step 2: Convert to fraction form
   10,492.74/14,479.93 = 5,777.02/x
3. Step 3: Cross multiply
   10,492.74x = 14,479.93 × 5,777.02
4. Step 4: Simplify right side
   10,492.74x = 83,650,845.21
5. Step 5: Solve for x
   x = 83,650,845.21/10,492.74
6. Step 6: Final answer
   x = 7,972.26