Finding the Fourth Proportional to 9,892.57, 14,802.34 and 5,946.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.57 : 14,802.34 = 5,946.22 : x
2. Step 2: Convert to fraction form
   9,892.57/14,802.34 = 5,946.22/x
3. Step 3: Cross multiply
   9,892.57x = 14,802.34 × 5,946.22
4. Step 4: Simplify right side
   9,892.57x = 88,017,970.15
5. Step 5: Solve for x
   x = 88,017,970.15/9,892.57
6. Step 6: Final answer
   x = 8,897.38