Finding the Fourth Proportional to 10,492.66, 15,748.71 and 5,302.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.66 : 15,748.71 = 5,302.18 : x
2. Step 2: Convert to fraction form
   10,492.66/15,748.71 = 5,302.18/x
3. Step 3: Cross multiply
   10,492.66x = 15,748.71 × 5,302.18
4. Step 4: Simplify right side
   10,492.66x = 83,502,495.19
5. Step 5: Solve for x
   x = 83,502,495.19/10,492.66
6. Step 6: Final answer
   x = 7,958.18